Magnification-variable optical system, optical apparatus, and method for manufacturing magnification-variable optical system

ABSTRACT

A magnification-variable optical system having a small size, a wide angle of view, and high optical performance, an optical apparatus including the magnification-variable optical system, and a method for manufacturing the magnification-variable optical system are provided. 
     A magnification-variable optical system ZL used for an optical apparatus such as a camera  1  includes a first lens group G 1  having a negative refractive power, and a rear group GR including at least one lens group disposed on an image side of the first lens group G 1 , and is configured so that a distance between lens groups adjacent to each other changes at magnification change and a condition expressed by predetermined condition expressions is satisfied.

TECHNICAL FIELD

The present invention relates to a magnification-variable opticalsystem, an optical apparatus, and a method for manufacturing themagnification-variable optical system.

BACKGROUND ART

Conventionally, a magnification-variable optical system that achieves asmall size and a wide angle of view has been disclosed (see PatentLiterature 1, for example). However, further improvement of opticalperformance is required.

CITATION LIST Patent Literature

Patent Literature 1: Japanese Patent Laid-open No. 2018-013685

SUMMARY OF INVENTION

A magnification-variable optical system according to a first aspect ofthe present invention includes: a first lens group having negativerefractive power; and a rear group including at least one lens groupdisposed on an image side of the first lens group, a distance betweenlens groups adjacent to each other changes at magnification change, anda condition expressed by expressions below is satisfied,

−4.00<(L1r2+L1r1)/(L1r2−L1r1)<−0.50

100.00°<2ωw

in the expressions,

L1r1: radius of curvature of a lens surface of a lens closest to anobject side in the first lens group, the lens surface being on theobject side,

L1r2: radius of curvature of a lens surface of the lens closest to theobject side in the first lens group, the lens surface being on an imageside, and

2ωw: full angle of view of the magnification-variable optical system ina wide-angle state.

A method for manufacturing the magnification-variable optical systemaccording to the first aspect of the present invention is a method formanufacturing a magnification-variable optical system including a firstlens group and a rear group, the first lens group having negativerefractive power, the rear group including at least one lens groupdisposed on an image side of the first lens group, the method formanufacturing the magnification-variable optical system including:disposing the lens groups so that a distance between lens groupsadjacent to each other changes at magnification change; and disposingthe lens groups so that a condition expressed by expressions below issatisfied,

−4.00<(L1r2+L1r1)/(L1r2−L1r1)<−0.50

100.00°<2ωw

in the expressions,

L1r1: radius of curvature of a lens surface of a lens closest to anobject side in the first lens group, the lens surface being on theobject side,

L1r2: radius of curvature of a lens surface of the lens closest to theobject side in the first lens group, the lens surface being on an imageside, and

2ωw: full angle of view of the magnification-variable optical system ina wide-angle state.

BRIEF DESCRIPTION OF DRAWINGS

FIG. 1 is a cross-sectional view showing a lens configuration of amagnification-variable optical system according to a first example.

FIG. 2 shows a variety of aberration diagrams of themagnification-variable optical system according to the first example atfocusing on an object at infinity: (a) shows a wide-angle state; and (b)shows a telescopic state.

FIG. 3 is a cross-sectional view showing a lens configuration of amagnification-variable optical system according to a second example.

FIG. 4 shows a variety of aberration diagrams of themagnification-variable optical system according to the second example atfocusing on an object at infinity: (a) shows a wide-angle state; and (b)shows a telescopic state.

FIG. 5 is a cross-sectional view showing a lens configuration of amagnification-variable optical system according to a third example.

FIG. 6 shows a variety of aberration diagrams of themagnification-variable optical system according to the third example atfocusing on an object at infinity: (a) shows a wide-angle state; and (b)shows a telescopic state.

FIG. 7 is a cross-sectional view showing a lens configuration of amagnification-variable optical system according to a fourth example.

FIG. 8 shows a variety of aberration diagrams of themagnification-variable optical system according to the fourth example atfocusing on an object at infinity: (a) shows a wide-angle state; and (b)shows a telescopic state.

FIG. 9 is a cross-sectional view showing a lens configuration of amagnification-variable optical system according to a fifth example.

FIG. 10 shows a variety of aberration diagrams of themagnification-variable optical system according to the fifth example atfocusing on an object at infinity: (a) shows a wide-angle state; and (b)shows a telescopic state.

FIG. 11 is a cross-sectional view showing a lens configuration of amagnification-variable optical system according to a sixth example.

FIG. 12 shows a variety of aberration diagrams of themagnification-variable optical system according to the sixth example atfocusing on an object at infinity: (a) shows a wide-angle state; and (b)shows a telescopic state.

FIG. 13 is a cross-sectional view showing a lens configuration of amagnification-variable optical system according to a seventh example.

FIG. 14 shows a variety of aberration diagrams of themagnification-variable optical system according to the seventh exampleat focusing on an object at infinity: (a) shows a wide-angle state; and(b) shows a telescopic state.

FIG. 15 is a cross-sectional view showing a lens configuration of amagnification-variable optical system according to an eighth example.

FIG. 16 shows a variety of aberration diagrams of themagnification-variable optical system according to the eighth example atfocusing on an object at infinity: (a) shows a wide-angle state; and (b)shows a telescopic state.

FIG. 17 is a cross-sectional view showing a lens configuration of amagnification-variable optical system according to a ninth example.

FIG. 18 shows a variety of aberration diagrams of themagnification-variable optical system according to the ninth example atfocusing on an object at infinity: (a) shows a wide-angle state; and (b)shows a telescopic state.

FIG. 19 is a cross-sectional view showing a lens configuration of amagnification-variable optical system according to a tenth example.

FIG. 20 shows a variety of aberration diagrams of themagnification-variable optical system according to the tenth example atfocusing on an object at infinity: (a) shows a wide-angle state; and (b)shows a telescopic state.

FIG. 21 shows a cross-sectional view of a camera on which anabove-described magnification-variable optical system is mounted.

FIG. 22 is a flowchart for description of a method for manufacturing anabove-described magnification-variable optical system.

DESCRIPTION OF EMBODIMENTS

Preferable embodiments will be described below with reference to thedrawings.

First Embodiment

A magnification-variable optical system ZL according to a firstembodiment includes a first lens group G1 having a negative refractivepower and including at least two lenses, and a rear group GR includingat least one lens group disposed on an image side of the first lensgroup G1, as shown in FIG. 1. In the magnification-variable opticalsystem ZL according to the first embodiment, lens groups adjacent toeach other change at magnification change. With this configuration, amagnification ratio that satisfies the present embodiment can beachieved.

Moreover, the magnification-variable optical system ZL according to thefirst embodiment desirably satisfies Conditional Expression (1)described below.

80.00<σ1n  (1)

In the expression,

ν1n: Abbe number of the medium of at least one negative lens included inthe first lens group G1 at a d line

Conditional Expression (1) defines the Abbe number of the medium of atleast one negative lens included in the first lens group G1 at the dline (hereinafter, a negative lens that satisfies Conditional Expression(1) in the first lens group G1 referred to as a “specific negativelens”). When Conditional Expression (1) is satisfied, it is possible tofavorably correct occurrences of a variety of aberrations such aslateral chromatic aberration and achieve weight reduction due toreduction of the number of lenses of the first lens group G1, and it ispossible to appropriately select the medium (glass material) of eachlens included in the first lens group G1. Meanwhile, it is possible tosecure the advantageous effect of the present embodiment more surely bysetting the lower limit value of Conditional Expression (1) to 82.00.Further, in order to secure the advantageous effect of the presentembodiment further more surely, it is preferable to set the lower limitvalue of Conditional Expression (1) to 85.00, 88.00, 90.00, 93.00, andmore preferable to 95.00.

Moreover, the magnification-variable optical system ZL according to thefirst embodiment desirably satisfies Conditional Expression (2) shownbelow.

1.05<nL2/nL1  (2)

In the expression,

nL1: refractive index of the medium of a lens closest to an object sidein the first lens group G1 at the d line, and

nL2: refractive index of the medium of a lens second closest to theobject side in the first lens group G1 at the d line.

Conditional Expression (2) defines the ratio of the refractive index ofthe medium of the lens closest to the object side and the refractiveindex of the medium of the lens second closest to the object side in thefirst lens group G1 at the d line. When Conditional Expression (2) issatisfied, it is possible to favorably correct occurrences of a varietyof aberrations such as curvature of field and astigmatism and achieveweight reduction due to reduction of the number of lenses of the firstlens group G1, and it is possible to appropriately select the medium(glass material) of each lens included in the first lens group G1.Meanwhile, it is possible to secure the advantageous effect of thepresent embodiment more surely by setting the lower limit value ofConditional Expression (2) to 1.08. Further, in order to secure theadvantageous effect of the present embodiment further more surely, it ispreferable to set the lower limit value of Conditional Expression (2) to1.10, 1.11, 1.13, 1.14, and more preferable to 1.15.

Moreover, the magnification-variable optical system ZL according to thefirst embodiment desirably satisfies Conditional Expression (3) shownbelow.

N1n≤4  (3)

In the expression,

N1 n: the number of negative lenses included in the first lens group G1.

Conditional Expression (3) defines the number of negative lensesincluded in the first lens group G1. When Conditional Expression (3) issatisfied, it is possible to achieve weight reduction due to reductionof the number of negative lenses in the first lens group G1. Inaddition, it is possible to reduce aberration variation at focusing ormagnification change. Meanwhile, it is possible to secure theadvantageous effect of the present embodiment more surely by setting theupper limit value of Conditional Expression (3) to 3. Meanwhile, it ispossible to secure the advantageous effect of the present embodimentmore surely by setting the lower limit value of Conditional Expression(3) to 1 (1<N1 n), in other words, the first lens group G1 desirablyincludes at least one negative lens.

Moreover, the magnification-variable optical system ZL according to thefirst embodiment desirably satisfies Conditional Expression (4) shownbelow.

100.00°<2ωw  (4)

In the expression,

2ωw: full angle of view of the magnification-variable optical system ZLin a wide-angle state.

Conditional Expression (4) defines the full angle of view of themagnification-variable optical system ZL in the wide-angle state. WhenConditional Expression (4) is satisfied, the presentmagnification-variable optical system ZL can be a bright ultrawide-anglezoom lens. Meanwhile, it is possible to secure the advantageous effectof the present embodiment more surely by setting the lower limit valueof Conditional Expression (4) to 105.00°. Further, in order to securethe advantageous effect of the present embodiment further more surely,it is preferable to set the lower limit value of Conditional Expression(4) to 110.00°, 112.00°, and more preferable to 114.00°.

Moreover, the magnification-variable optical system ZL according to thefirst embodiment desirably satisfies Conditional Expression (5) shownbelow.

nL1<1.70  (5)

In the expression,

nL1: refractive index of the medium of the lens closest to the objectside in the first lens group G1 at the d line.

Conditional Expression (5) defines the refractive index of the medium ofthe lens closest to the object side in the first lens group G1 at the dline. When Conditional Expression (5) is satisfied, a lens of a medium(glass material) having a low refractive index is disposed closest tothe object side in the first lens group G1, and thus it is possible tofavorably correct the Petzval sum. In addition, it is possible to reduceaberration variation at focusing or magnification change. Meanwhile, itis possible to secure the advantageous effect of the present embodimentmore surely by setting the upper limit value of Conditional Expression(5) to 1.69. Further, in order to secure the advantageous effect of thepresent embodiment further more surely, it is preferable to set theupper limit value of Conditional Expression (5) to 1.68, 1.66, 1.65,1.64, and more preferable to 1.63.

Second Embodiment

A magnification-variable optical system ZL according to a secondembodiment includes a first lens group G1 having negative refractivepower, and a rear group GR including at least one lens group disposed onan image side of the first lens group G1, as shown in FIG. 1. In themagnification-variable optical system ZL according to the secondembodiment, the distance between lens groups adjacent to each otherchanges at magnification change. With this configuration, it is possibleto achieve a magnification ratio that satisfies the present embodiment.

Moreover, the magnification-variable optical system ZL according to thesecond embodiment desirably satisfies Conditional Expression (6) shownbelow.

85.00 mm² <fw×(−f1)/Fnow<165.00 mm²  (6)

In the expression,

fw: focal length of the magnification-variable optical system ZL in thewide-angle state,

f1: focal length of the first lens group G1, and

Fnow: maximum aperture of the magnification-variable optical system ZLat focusing on an object at infinity in the wide-angle state.

Conditional Expression (6) defines appropriate refractive power (power)of the first lens group G1 for the maximum aperture of themagnification-variable optical system ZL. When Conditional Expression(6) is satisfied, it is possible to achieve both weight reduction due toreduction of the number of lenses of the first lens group G1 and highperformance due to appropriate refractive power (power) of the firstlens group G1. Moreover, the present magnification-variable opticalsystem ZL is applicable to a bright ultrawide-angle zoom lens.Meanwhile, it is possible to secure the advantageous effect of thepresent embodiment more surely by setting the upper limit value ofConditional Expression (6) to 160.00 mm². Further, in order to securethe advantageous effect of the present embodiment further more surely,it is preferable to set the upper limit value of Conditional Expression(6) to 155.00 mm², 150.00 mm², 145.00 mm², 140.00 mm², 135.00 mm²,130.00 mm², 125.00 mm², 120.00 mm², and more preferable to 115.00 mm².Meanwhile, it is possible to secure the advantageous effect of thepresent embodiment more surely by setting the lower limit value ofConditional Expression (6) to 90.00 mm², 95.00 mm², 100.00 mm², 102.00mm², 103.00 mm², and more preferable to 104.00 mm².

Moreover, the magnification-variable optical system ZL according to thesecond embodiment desirably satisfies Conditional Expression (3A)described below.

N1n≤3  (3A)

In the expression,

N1 n: the number of negative lenses included in the first lens group G1.

Description of Conditional Expression (3A) is the same as the abovedescription of Conditional Expression (3).

Moreover, the magnification-variable optical system ZL according to thesecond embodiment desirably satisfies Conditional Expression (4) shownbelow.

100.00°<2ωw  (4)

In the expression,

2ωw: full angle of view of the magnification-variable optical system ZLin a wide-angle state.

Description of Conditional Expression (4) is as described above.

Moreover, the magnification-variable optical system ZL according to thesecond embodiment desirably satisfies Conditional Expression (5) shownbelow.

nL1<1.70  (5)

In the expression,

nL1: refractive index of the medium of the lens closest to an objectside in the first lens group G1 at the d line.

Description of Conditional Expression (5) is as described above.

Third Embodiment

A magnification-variable optical system ZL according to a thirdembodiment includes a first lens group G1 having negative refractivepower, and a rear group GR including at least one lens group disposed onan image side of the first lens group G1, as shown in FIG. 1. In themagnification-variable optical system ZL according to the presentembodiment, the distance between lens groups adjacent to each otherchanges at magnification change. With this configuration, it is possibleto achieve a magnification ratio that satisfies the present embodiment.

Moreover, the magnification-variable optical system ZL according to thethird embodiment desirably satisfies Conditional Expression (7) shownbelow.

−4.00<(L1r2+L1r1)/(L1r2−L1r1)<−0.50  (7)

In the expression,

L1r1: radius of curvature of a lens surface of the lens closest to anobject side in the first lens group G1, the lens surface being on theobject side, and

L1r2: radius of curvature of a lens surface of the lens closest to theobject side in the first lens group G1, the lens surface being on theimage side.

Conditional Expression (7) defines the shape of the lens closest to theobject side in the first lens group G1. When Conditional Expression (7)is satisfied, the lens closest to the object side in the first lensgroup G1 is a negative meniscus lens having a convex surface facing theobject side, and thus it is possible to achieve both size reduction andfavorable aberration correction. In addition, it is possible to reduceaberration variation at focusing or magnification change. Moreover, thepresent magnification-variable optical system ZL is applicable to abright ultrawide-angle zoom lens. When the upper limit value ofConditional Expression (7) is exceeded, distortion increase andmanufacturability decrease undesirably occur. Meanwhile, it is possibleto secure the advantageous effect of the present embodiment more surelyby setting the upper limit value of Conditional Expression (7) to −0.60.Further, in order to secure the advantageous effect of the presentembodiment further more surely, it is preferable to set the upper limitvalue of Conditional Expression (7) to −0.70, −0.80, −0.85, −0.90,−0.95, −0.98, −1.00, and more preferable to −1.05. When the lower limitvalue of Conditional Expression (7) is exceeded, the radius of curvatureof the lens surface on the object side is short, and themagnification-variable optical system ZL is undesirably large and heavy.Meanwhile, it is possible to secure the advantageous effect of thepresent embodiment more surely by setting the lower limit value ofConditional Expression (7) to −3.50. Further, in order to secure theadvantageous effect of the present embodiment further more surely, it ispreferable to set the lower limit value of Conditional Expression (7) to−3.00, −2.50, −2.25, −2.00, −1.80, −1.65, and more preferable to −1.55.

Moreover, the magnification-variable optical system ZL according to thethird embodiment desirably satisfies Conditional Expression (4) shownbelow.

100.00°<2ωw  (4)

In the expression,

2ωw: full angle of view of the magnification-variable optical system ZLin a wide-angle state.

Description of Conditional Expression (4) is as described above.

Moreover, the magnification-variable optical system ZL according to thethird embodiment desirably satisfies Conditional Expression (3) shownbelow.

N1n≤4  (3)

In the expression,

N1 n: the number of negative lenses included in the first lens group G1.

Description of Conditional Expression (3) is as described above.

Moreover, the magnification-variable optical system ZL according to thethird embodiment desirably satisfies Conditional Expression (5) shownbelow.

nL1<1.70  (5)

In the expression,

nL1: refractive index of the medium of the lens closest to the objectside in the first lens group G1 at the d line.

Description of Conditional Expression (5) is as described above.

Fourth Embodiment

A magnification-variable optical system ZL according to a fourthembodiment includes a first lens group G1 having negative refractivepower, a second lens group G2 having positive refractive power, and athird lens group G3 having positive refractive power, as shown inFIG. 1. In the magnification-variable optical system ZL according to thefourth embodiment, the distance between lens groups adjacent to eachother desirably changes at magnification change, and the distancebetween the first lens group G1 and the second lens group G2 desirablydecreases at magnification change from a wide-angle state to atelescopic state. With this configuration, it is possible to achieve amagnification ratio that satisfies the present embodiment. In themagnification-variable optical system ZL according to the fourthembodiment, the second lens group G2 desirably moves to an image sidewherein upon focusing from an infinite distance object to a closedistance object. With this configuration, it is possible to reduceaberration variation at focusing.

In the magnification-variable optical system ZL according to the fourthembodiment, the first lens group G1 desirably includes, at a positionclosest to an object side, a negative meniscus lens having a convexsurface facing the object side. With this configuration, it is possibleto achieve both size reduction and favorable aberration correction. Inaddition, it is possible to reduce aberration variation at focusing ormagnification change. Moreover, the present magnification-variableoptical system ZL is applicable to a bright ultrawide-angle zoom lens.

Moreover, the magnification-variable optical system ZL according to thesecond embodiment desirably satisfies Conditional Expression (3A)described below.

N1n≤3  (3A)

In the expression,

N1 n: the number of negative lenses included in the first lens group G1.

Description of Conditional Expression (3A) is the same as the abovedescription of Conditional Expression (3).

Moreover, the magnification-variable optical system ZL according to thesecond embodiment desirably satisfies Conditional Expression (4) shownbelow.

100.00°<2ωw  (4)

In the expression,

2ωw: full angle of view of the magnification-variable optical system ZLin a wide-angle state.

Description of Conditional Expression (4) is as described above.

Fifth Embodiment

A magnification-variable optical system ZL according to a fifthembodiment includes a first lens group G1 having negative refractivepower, a second lens group G2 having positive refractive power, and athird lens group G3 having positive refractive power, as shown inFIG. 1. In the magnification-variable optical system ZL according to thefifth embodiment, the distance between lens groups adjacent to eachother desirably changes at magnification change, and the distancebetween the first lens group G1 and the second lens group G2 desirablydecreases at magnification change from a wide-angle state to atelescopic state. With this configuration, it is possible to achieve amagnification ratio that satisfies the present embodiment. In themagnification-variable optical system ZL according to the fourthembodiment, the second lens group G2 desirably moves to an image sidewherein upon focusing from an infinite distance object to a closedistance object. With this configuration, it is possible to reduceaberration variation at focusing.

In the magnification-variable optical system ZL according to the fifthembodiment, the first lens group G1 desirably includes, at a positionclosest to an object side, a negative meniscus lens having a convexsurface facing the object side. With this configuration, it is possibleto achieve both size reduction and favorable aberration correction. Inaddition, it is possible to reduce aberration variation at focusing ormagnification change. Moreover, the present magnification-variableoptical system ZL is applicable to a bright ultrawide-angle zoom lens.

Moreover, the magnification-variable optical system ZL according to thefifth embodiment desirably satisfies Conditional Expression (5) shownbelow.

nL1<1.70  (5)

In the expression,

nL1: refractive index of the medium of the lens closest to the objectside in the first lens group G1 at the d line.

Description of Conditional Expression (5) is as described above.

Sixth Embodiment

A magnification-variable optical system ZL according to a sixthembodiment includes a first lens group G1 having negative refractivepower, a second lens group G2 having positive refractive power, and athird lens group G3 having positive refractive power, as shown inFIG. 1. In the magnification-variable optical system ZL according to thesixth embodiment, the distance between lens groups adjacent to eachother desirably changes at magnification change, and the distancebetween the first lens group G1 and the second lens group G2 desirablydecreases at magnification change from a wide-angle state to atelescopic state. With this configuration, it is possible to achieve amagnification ratio that satisfies the present embodiment. In themagnification-variable optical system ZL according to the fourthembodiment, the second lens group G2 desirably moves to an image sidewherein upon focusing from an infinite distance object to a closedistance object. With this configuration, it is possible to reduceaberration variation at focusing.

In the magnification-variable optical system ZL according to the sixthembodiment, the first lens group G1 desirably includes, at a positionclosest to an object side, a negative meniscus lens having a convexsurface facing the object side. With this configuration, it is possibleto achieve both size reduction and favorable aberration correction. Inaddition, it is possible to reduce aberration variation at focusing ormagnification change. Moreover, the present magnification-variableoptical system ZL is applicable to a bright ultrawide-angle zoom lens.

Moreover, the magnification-variable optical system ZL according to thesixth embodiment desirably satisfies Conditional Expression (8) shownbelow.

59.00<(Σν1n)/N1n  (8)

In the expression,

N1 n: the number of negative lenses included in the first lens group G1,and

Σν1n: sum of the Abbe number of the medium of each negative lensincluded in the first lens group G1 at the d line.

Conditional Expression (8) defines the ratio of the sum of Abbe numbersrelative to the number of negative lenses included in the first lensgroup G1. When Conditional Expression (8) is satisfied, it is possibleto favorably correct chromatic aberration in the entire zoom range byselecting a low dispersive medium as the medium (glass material) of eachlens, while simultaneously reducing the number of lenses in the firstlens group G1 to achieve size and weight reduction. Meanwhile, it ispossible to secure the advantageous effect of the present embodimentmore surely by setting the lower limit value of Conditional Expression(8) to 60.00. Further, in order to secure the advantageous effect of thepresent embodiment further more surely, it is preferable to set thelower limit value of Conditional Expression (8) to 60.50, 61.00, 61.50,61.80, and more preferable to 62.00.

Moreover, the magnification-variable optical system ZL according to thesixth embodiment desirably satisfies Conditional Expression (9) shownbelow.

100.00<(Σ(ν1n×f1n))/(N1n×f1)  (9)

In the expression,

N1n: the number of negative lenses included in the first lens group G1,

f1: focal length of the first lens group G1, and

Σ (ν1n×f1n): sum of the product of the Abbe number ν1n of the medium ofeach negative lens included in the first lens group G1 at the d line anda focal length fin of the lens.

Conditional Expression (9) defines an appropriate relation between thefocal length of the first lens group G1 and the ratio of the sum of Abbenumbers relative to the number of negative lenses included in the firstlens group G1. When Conditional Expression (9) is satisfied, it ispossible to achieve size and weight reduction by reducing the number oflenses in the first lens group G1, obtain appropriate refractive power(power) of the first lens group G1, and favorably correct chromaticaberration in the entire zoom range by selecting a low dispersive medium(glass material). Meanwhile, it is possible to secure the advantageouseffect of the present embodiment more surely by setting the lower limitvalue of Conditional Expression (9) to 105.00. Further, in order tosecure the advantageous effect of the present embodiment further moresurely, it is preferable to set the lower limit value of ConditionalExpression (9) to 110.00, 115.00, 118.00, 120.00, 123.00, and morepreferable to 125.00.

The magnification-variable optical system ZL according to any of thefirst to sixth embodiments desirably satisfies Conditional Expression(10) shown below.

1.20<Bfw/fw<4.00  (10)

In the expression,

fw: focal length of the magnification-variable optical system ZL in thewide-angle state, and

Bfw: back focus of the magnification-variable optical system ZL in thewide-angle state.

Conditional Expression (10) defines the ratio of the back focus relativeto the overall focal length in the wide-angle state. When ConditionalExpression (10) is satisfied, it is possible to achieve both sizereduction and favorable aberration correction. When the upper limitvalue of Conditional Expression (10) is exceeded, the back focus isundesirably too long, which makes it difficult to achieve size reductionof the present magnification-variable optical system ZL. Meanwhile, itis possible to secure the advantageous effect of the present embodimentmore surely by setting the upper limit value of Conditional Expression(10) to 3.50. Further, in order to secure the advantageous effect of thepresent embodiment further more surely, it is preferable to set theupper limit value of Conditional Expression (10) to 3.30, 3.00, 2.90,2.80, 2.75, and more preferable to 2.72. When the lower limit value ofConditional Expression (10) is exceeded, the distance from an imageplane to an exit pupil is undesirably too short, which is disadvantagefor aberration correction and acquisition of ambient light quantity.Meanwhile, it is possible to secure the advantageous effect of thepresent embodiment more surely by setting the lower limit value ofConditional Expression (10) to 1.25. Further, in order to secure theadvantageous effect of the present embodiment further more surely, it ispreferable to set the lower limit value of Conditional Expression (10)to 1.30, 1.35, 1.40, 1.45, 1.50, 1.55, and more preferable to 1.60.

The magnification-variable optical system ZL according to any of thefirst to sixth embodiments desirably satisfies Conditional Expression(11) shown below.

0.40<STLw/TLw<0.70  (11)

In the expression,

TLw: total length of the magnification-variable optical system ZL in thewide-angle state, and

STLw: distance from the lens surface closest to the object side to anaperture stop along an optical axis in the magnification-variableoptical system ZL in the wide-angle state.

Conditional Expression (11) defines the ratio of the total length of theoptical system and an aperture position in the wide-angle state. WhenConditional Expression (11) is satisfied, it is possible to achieve bothsize reduction and favorable aberration correction. When the upper limitvalue of Conditional Expression (11) is exceeded, the distance from thelens surface closest to the object side to an entrance pupil isundesirably long, which makes it difficult to correct distortion andcurvature of field. Meanwhile, it is possible to secure the advantageouseffect of the present embodiment more surely by setting the upper limitvalue of Conditional Expression (11) to 0.68. Further, in order tosecure the advantageous effect of the present embodiment further moresurely, it is preferable to set the upper limit value of ConditionalExpression (11) to 0.65, 0.64, 0.63, 0.62, 0.61, and more preferable to0.58. When the lower limit value of Conditional Expression (11) isexceeded, the distance from the image plane to the exit pupil isundesirably long, which leads to increase of the total length of theoptical system. Meanwhile, it is possible to secure the advantageouseffect of the present embodiment more surely by setting the lower limitvalue of Conditional Expression (11) to 0.43. Further, in order tosecure the advantageous effect of the present embodiment further moresurely, it is preferable to set the lower limit value of ConditionalExpression (11) to 0.45, 0.46, 0.47, 0.48, and more preferable to 0.49.

The magnification-variable optical system ZL according to any of thefirst to sixth embodiments desirably satisfies Conditional Expression(12) shown below.

1.00<(−f1)/fw<2.00  (12)

In the expression,

fw: focal length of the magnification-variable optical system ZL in thewide-angle state, and

f1: focal length of the first lens group G1.

Conditional Expression (12) defines the ratio of the focal length of thefirst lens group G1 relative to the overall focal length in thewide-angle state. When Conditional Expression (12) is satisfied, it ispossible to determine the refractive power (power) of the first lensgroup G1 for achieving both size reduction and high performance. Whenthe upper limit value of Conditional Expression (12) is exceeded, therefractive power of the first lens group G1 is undesirably too weak,which leads to size increase of lenses. Meanwhile, it is possible tosecure the advantageous effect of the present embodiment more surely bysetting the upper limit value of Conditional Expression (12) to 1.90.Further, in order to secure the advantageous effect of the presentembodiment further more surely, it is preferable to set the upper limitvalue of Conditional Expression (12) to 1.80, 1.70, 1.65, 1.63, 1.60,and more preferable to 1.59. When the lower limit value of ConditionalExpression (12) is exceeded, the refractive power of the first lensgroup G1 is undesirably too strong, which prevents favorable aberrationcorrection. Meanwhile, it is possible to secure the advantageous effectof the present embodiment more surely by setting the lower limit valueof Conditional Expression (12) to 1.10. Further, in order to secure theadvantageous effect of the present embodiment further more surely, it ispreferable to set the lower limit value of Conditional Expression (12)to 1.20, 1.25, 1.30, 1.35, 1.38, 1.40, and more preferable to 1.42.

The magnification-variable optical system ZL according to any of thefirst to sixth embodiments desirably satisfies Conditional Expression(13) shown below.

0.65<(−f1)/ft<1.20  (13)

In the expression,

ft: focal length of the magnification-variable optical system ZL in thetelescopic state, and

f1: focal length of the first lens group G1.

Conditional Expression (13) defines the ratio of the focal length of thefirst lens group G1 relative to the overall focal length in thetelescopic state. When Conditional Expression (13) is satisfied, it ispossible to determine the refractive power (power) of the first lensgroup G1 for achieving both size reduction and high performance. Whenthe upper limit value of Conditional Expression (13) is exceeded, therefractive power of the first lens group G1 is undesirably too weak,which leads to size increase of lenses. Meanwhile, it is possible tosecure the advantageous effect of the present embodiment more surely bysetting the upper limit value of Conditional Expression (13) to 1.15.Further, in order to secure the advantageous effect of the presentembodiment further more surely, it is preferable to set the upper limitvalue of Conditional Expression (13) to 1.10, 1.08, 1.05, 1.03, and morepreferable to 1.00. When the lower limit value of Conditional Expression(13) is exceeded, the magnification ratio is undesirably too large,which prevents favorable aberration correction. Meanwhile, it ispossible to secure the advantageous effect of the present embodimentmore surely by setting the lower limit value of Conditional Expression(13) to 0.70. Further, in order to secure the advantageous effect of thepresent embodiment further more surely, it is preferable to set thelower limit value of Conditional Expression (13) to 0.75, 0.78, 0.80,0.83, 0.85, and more preferable to 0.87.

The magnification-variable optical system ZL according to any of thefirst to sixth embodiments desirably satisfies Conditional Expression(14) shown below.

1.00<fL1/f1<2.00  (14)

In the expression,

f1: focal length of the first lens group G1, and

fL1: focal length of the lens closest to the object side in the firstlens group G1.

Conditional Expression (14) defines the ratio of the focal length of thefirst lens group G1 and the focal length of the lens closest to theobject side in the first lens group G1. When Conditional Expression (14)is satisfied, it is possible to achieve both size reduction andfavorable aberration correction. When the upper limit value ofConditional Expression (14) is exceeded, the refractive power (power) ofthe lens closest to the object side in the first lens group G1 isundesirably too weak, which leads to size increase of themagnification-variable optical system ZL and decrease of ambient lightquantity. Meanwhile, it is possible to secure the advantageous effect ofthe present embodiment more surely by setting the upper limit value ofConditional Expression (14) to 1.90. Further, in order to secure theadvantageous effect of the present embodiment further more surely, it ispreferable to set the upper limit value of Conditional Expression (14)to 1.80, 1.75, 1.70, 1.65, 1.60, and more preferable to 1.59. When thelower limit value of Conditional Expression (14) is exceeded, therefractive power (power) of the lens closest to the object side in thefirst lens group G1 is undesirably too strong, which makes it difficultto correct coma aberration and curvature of field. Meanwhile, it ispossible to secure the advantageous effect of the present embodimentmore surely by setting the lower limit value of Conditional Expression(14) to 1.05. Further, in order to secure the advantageous effect of thepresent embodiment further more surely, it is preferable to set thelower limit value of Conditional Expression (14) to 1.10, 1.15, 1.20,1.25, 1.28, and more preferable to 1.30.

The magnification-variable optical system ZL according to any of thefirst to sixth embodiments desirably satisfies Conditional Expression(15) shown below.

1.00<fL2/f1<4.00  (15)

In the expression,

f1: focal length of the first lens group G1, and

fL2: focal length of the lens second closest to the object side in thefirst lens group G1.

Conditional Expression (15) defines the ratio of the focal length of thefirst lens group G1 and the focal length of the lens second closest tothe object side in the first lens group G1. When Conditional Expression(15) is satisfied, it is possible to achieve both size reduction andfavorable aberration correction. When the upper limit value ofConditional Expression (15) is exceeded, the refractive power (power) ofthe lens second closest to the object side in the first lens group G1 isundesirably too weak, which is not suitable for correction of curvatureof field or the like. Meanwhile, it is possible to secure theadvantageous effect of the present embodiment more surely by setting theupper limit value of Conditional Expression (15) to 3.85. Further, inorder to secure the advantageous effect of the present embodimentfurther more surely, it is preferable to set the upper limit value ofConditional Expression (15) to 3.60, 3.50, 3.45, 3.40, 3.35, and morepreferable to 3.30. When the lower limit value of Conditional Expression(15) is exceeded, the refractive power (power) of the lens secondclosest to the object side in the first lens group G1 is undesirably toostrong, which makes it difficult to correct spherical aberration or comaaberration. Meanwhile, it is possible to secure the advantageous effectof the present embodiment more surely by setting the lower limit valueof Conditional Expression (15) to 1.10. Further, in order to secure theadvantageous effect of the present embodiment further more surely, it ispreferable to set the lower limit value of Conditional Expression (15)to 1.20, 1.50, 1.70, 1.80, 1.90, 2.00, and more preferable to 2.10.

The magnification-variable optical system ZL according to any of thefirst to sixth embodiments desirably satisfies Conditional Expression(16) shown below.

3.50<TLw/Bfw<8.00  (16)

In the expression,

Bfw: back focus of the magnification-variable optical system ZL in thewide-angle state, and

TLw: total length of the magnification-variable optical system ZL in thewide-angle state.

Conditional Expression (16) defines the ratio of the back focus and thetotal length of the optical system in the wide-angle state. WhenConditional Expression (16) is satisfied, it is possible to achieve bothsize reduction and favorable aberration correction. When the upper limitvalue of Conditional Expression (16) is exceeded, the total length ofthe optical system is undesirably too long or the back focus isundesirably too short. Meanwhile, it is possible to secure theadvantageous effect of the present embodiment more surely by setting theupper limit value of Conditional Expression (16) to 7.80. Further, inorder to secure the advantageous effect of the present embodimentfurther more surely, it is preferable to set the upper limit value ofConditional Expression (16) to 7.50, 7.25, 7.00, 6.90, 6.80, 6.75, 6.70,6.65, and more preferable to 6.50. When the lower limit value ofConditional Expression (16) is exceeded, the total length of the opticalsystem is undesirably too short, which makes it difficult to achievefavorable aberration correction. Meanwhile, it is possible to secure theadvantageous effect of the present embodiment more surely by setting thelower limit value of Conditional Expression (16) to 3.65. Further, inorder to secure the advantageous effect of the present embodimentfurther more surely, it is preferable to set the lower limit value ofConditional Expression (16) to 3.75, 3.80, 3.85, 3.90, 3.95, and morepreferable to 4.00.

In the magnification-variable optical system ZL according to any of thefirst to third embodiments, the first lens group G1 desirably includes,at a position closest to the object side, a negative meniscus lenshaving a convex surface facing the object side. With this configuration,it is possible to achieve both size reduction and favorable aberrationcorrection. In addition, it is possible to reduce aberration variationat focusing or magnification change. Moreover, the presentmagnification-variable optical system ZL is applicable to a brightultrawide-angle zoom lens.

The magnification-variable optical system ZL according to any of thefirst, second, and fourth to sixth embodiments desirably satisfiesConditional Expression (7) shown below.

−4.00<(L1r2+L1r1)/(L1r2−L1r1)<−0.50  (7)

In the expression,

L1r1: radius of curvature of the lens surface of the lens closest to theobject side in the first lens group G1, the lens surface being on theobject side, and

L1r2: radius of curvature of the lens surface of the lens closest to theobject side in the first lens group G1, the lens surface being on theimage side.

Description of Conditional Expression (7) is as described above.

In the magnification-variable optical system ZL according to any of thefirst to sixth embodiments, the first lens group G1 desirably includesat least two lenses and desirably satisfies Conditional Expression (17)shown below.

−4.00<(L2r2+L2r1)/(L2r2−L2r1)<−0.50  (17)

In the expression,

L2r1: radius of curvature of a lens surface of the lens second closestto the object side in the first lens group G1, the lens surface being onthe object side, and

L2r2: radius of curvature of a lens surface of the lens second closestto the object side in the first lens group G1, the lens surface being onthe image side.

Conditional Expression (17) defines the shape of the lens second closestto the object side in the first lens group G1. When ConditionalExpression (17) is satisfied, the lens second closest to the object sidein the first lens group G1 is a negative meniscus lens having a convexsurface facing the object side, and thus it is possible to favorablyperform aberration correction. When the upper limit value of ConditionalExpression (17) is exceeded, it is undesirably difficult to correct comaaberration. Meanwhile, it is possible to secure the advantageous effectof the present embodiment more surely by setting the upper limit valueof Conditional Expression (17) to −0.60. Further, in order to secure theadvantageous effect of the present embodiment further more surely, it ispreferable to set the upper limit value of Conditional Expression (17)to −0.70, −0.75, −0.80, −0.85, −0.90, −0.95, −1.00, and more preferableto −1.05. When the lower limit value of Conditional Expression (17) isexceeded, it is undesirably difficult to correct curvature of field.Meanwhile, it is possible to secure the advantageous effect of thepresent embodiment more surely by setting the lower limit value ofConditional Expression (17) to −3.90. Further, in order to secure theadvantageous effect of the present embodiment further more surely, it ispreferable to set the lower limit value of Conditional Expression (17)to −3.80, −3.70, −3.60, −3.50, −3.40, −3.30, and more preferable to−3.25.

In the magnification-variable optical system ZL according to any of thefirst to sixth embodiments, the first lens group G1 desirably includesat least three lenses and desirably satisfies Conditional Expression(18) shown below.

−0.80<(L3r2+L3r1)/(L3r2−L3r1)<0.80  (18)

In the expression,

L3r1: radius of curvature of a lens surface of a lens third closest tothe object side in the first lens group G1, the lens surface being onthe object side, and

L3r2: radius of curvature of a lens surface of the lens third closest tothe object side in the first lens group G1, the lens surface being onthe image side.

Conditional Expression (18) defines the shape of the lens third closestto the object side in the first lens group G1. When ConditionalExpression (18) is satisfied, the lens third closest to the object sidein the first lens group G1 is a biconcave negative lens, and thus it ispossible to favorably perform aberration correction. When the upperlimit value of Conditional Expression (18) is exceeded, it isundesirably difficult to correct coma aberration. Meanwhile, it ispossible to secure the advantageous effect of the present embodimentmore surely by setting the upper limit value of Conditional Expression(18) to 0.70. Further, in order to secure the advantageous effect of thepresent embodiment further more surely, it is preferable to set theupper limit value of Conditional Expression (18) to 0.60, 0.50, 0.45,0.40, 0.35, 0.30, and more preferable to 0.28. When the lower limitvalue of Conditional Expression (18) is exceeded, it is undesirablydifficult to correct coma aberration. Meanwhile, it is possible tosecure the advantageous effect of the present embodiment more surely bysetting the lower limit value of Conditional Expression (18) to −0.70.Further, in order to secure the advantageous effect of the presentembodiment further more surely, it is preferable to set the lower limitvalue of Conditional Expression (18) to −0.60, −0.50, −0.45, −0.40,−0.35, −0.30, and more preferable to −0.28.

In the magnification-variable optical system ZL according to any of thefirst to sixth embodiments, the first lens group G1 desirably moves inan optical axis direction at magnification change. With thisconfiguration, it is possible to reduce aberration variation atmagnification change.

In the magnification-variable optical system ZL according to any of thefirst to sixth embodiments, the first lens group G1 is desirably formedof, sequentially from the object side, a negative lens, a negative lens,a negative lens, and a positive lens. With this configuration, it ispossible to favorably correct a variety of aberrations, in particular,distortion and curvature of field. In the first lens group G1, thenegative lens, the negative lens, the negative lens, and the positivelens may be each disposed as a single lens, or any lenses adjacent toeach other may be cemented as a cemented lens.

In the magnification-variable optical system ZL according to any of thefirst to third embodiments, part of the rear group GR desirably moves tothe image side wherein upon focusing from an infinite distance object toa close distance object. With this configuration, it is possible toreduce aberration variation at focusing.

In the magnification-variable optical system ZL according to any of thefirst to third embodiments, the rear group GR desirably includes thesecond lens group G2 having positive refractive power and the third lensgroup G3 having negative refractive power, and the second lens group G2desirably moves to the image side wherein upon focusing from an infinitedistance object to a close distance object. With this configuration, itis possible to reduce aberration variation at focusing.

The magnification-variable optical system ZL according to any of thefirst to sixth embodiments desirably includes at least one lens group onthe image side of the third lens group G3. With this configuration, itis possible to favorably correct a variety of aberrations such as comaaberration at magnification change.

In the magnification-variable optical system ZL according to any of thefirst to sixth embodiments, the rear group GR (or the second lens groupG2 and any following lens group) desirably includes one or more asphericsurfaces. With this configuration, it is possible to favorably correct avariety of aberrations, in particular, curvature of field.

In the magnification-variable optical system ZL according to any of thefirst to sixth embodiments, the rear group GR (or the second lens groupG2 and any following lens group) desirably includes one or more lensesthat satisfies Conditional Expression (19) below (this lens is referredto as a “specific lens”).

66.50<νr  (19)

In the expression,

νr: Abbe number of the medium of each lens included in the rear group GRat the d line.

Conditional Expression (19) defines the Abbe number of the medium ofeach specific lens included in the rear group GR (or the second lensgroup G2 and any following lens group) at the d line. When the reargroup GR includes one or more lenses (specific lens) that satisfyConditional Expression (19), it is possible to favorably correct lateralchromatic aberration. Meanwhile, it is possible to secure theadvantageous effect of the present embodiment more surely by setting thelower limit value of Conditional Expression (19) to 67.00. Further, inorder to secure the advantageous effect of the present embodimentfurther more surely, it is preferable to set the lower limit value ofConditional Expression (19) to 67.50, 68.00, 70.00, 74.00, 78.00, 80.00,and more preferable to 81.00.

The magnification-variable optical system ZL according to any of thefirst to sixth embodiments desirably satisfies Conditional Expression(20) shown below.

Fnow<4.20  (20)

In the expression,

Fnow: maximum aperture of the magnification-variable optical system ZLat focusing on an object at infinity in the wide-angle state.

Conditional Expression (20) defines the maximum aperture of themagnification-variable optical system ZL at focusing on an object atinfinity in the wide-angle state. When Conditional Expression (20) issatisfied, it is possible to achieve a favorable resolution thatsatisfies the present embodiment in the wide-angle state. Meanwhile, itis possible to secure the advantageous effect of the present embodimentmore surely by setting the lower limit value of Conditional Expression(20) to 4.05. Further, in order to secure the advantageous effect of thepresent embodiment further more surely, it is preferable to set thelower limit value of Conditional Expression (20) to 4.00, 3.80, 3.60,3.40, 3.20, 3.00, and more preferable to 2.95.

The magnification-variable optical system ZL according to any of thefirst to sixth embodiments desirably satisfies Conditional Expression(21) shown below.

Fnot<6.00  (21)

In the expression,

Fnot: maximum aperture of the magnification-variable optical system ZLat focusing on an object at infinity in the telescopic state.

Conditional Expression (21) defines the maximum aperture of themagnification-variable optical system ZL at focusing on an object atinfinity in the telescopic state. When Conditional Expression (21) issatisfied, it is possible to achieve a favorable resolution thatsatisfies the present embodiment in the telescopic state. Meanwhile, itis possible to secure the advantageous effect of the present embodimentmore surely by setting the lower limit value of Conditional Expression(21) to 5.50. Further, in order to secure the advantageous effect of thepresent embodiment further more surely, it is preferable to set thelower limit value of Conditional Expression (21) to 5.30, 5.00, 4.80,4.50, 4.05, 4.00, 3.80, 3.60, 3.40, 3.20, 3.00, and more preferable to2.95.

The magnification-variable optical system ZL according to any of thefirst to sixth embodiments may include a filter on the object side ofthe first lens group G1. When a filter is disposed on the object side ofthe first lens group G1, the filter does not increase in size, and thusit is possible to achieve size reduction of the entiremagnification-variable optical system ZL.

A camera that is an optical apparatus including themagnification-variable optical system ZL according to any of the firstto sixth embodiments will be described next with reference to FIG. 21.This camera 1 is what is called a mirrorless camera that allows lensexchange and includes the magnification-variable optical system ZLaccording to the present embodiment as an imaging lens 2. In the presentcamera 1, light from an object (subject) that is not shown is collectedby the imaging lens 2 to form a subject image on an image capturingplane of an image unit 3 via an optical low pass filter (OLPF) that isnot shown. A photoelectric converter provided in the image unit 3photoelectrically converts the subject image into an electrical form. Animage of the subject is thus produced. The image is displayed on anelectronic view finder (EVF) 4 provided on the camera 1. A photographercan thus observe the subject on the EVF 4.

When the photographer presses a release button that is not shown, theimage photoelectrically converted by the image unit 3 is stored in amemory that is not shown. The photographer can thus capture an image ofthe subject via the present camera 1. The present embodiment has beendescribed with reference to a mirrorless camera. The same effects asthose provided by the camera 1 described above can be provided even in acase where the magnification-variable optical system ZL according to thepresent embodiment is incorporated in a single lens reflex camera thatincludes a quick-return mirror and allows the photographer to observe asubject through a finder optical system.

In this manner, when the magnification-variable optical system ZLconfigured as described above is provided in an optical apparatusaccording to the present embodiment, it is possible to achieve anoptical apparatus that has a small size and a wide angle of view and canfavorably reduce aberration variation at magnification change andfocusing.

The contents described below are employable as appropriate to the extentthat the optical performance is not compromised.

In the present embodiment, the magnification-variable optical system ZLhaving two- to five-group configuration has been shown, and theconfiguration conditions and others described above are also applicableto a six-group configuration, a seven-group configuration, and othergroup configurations. Further, the magnification-variable optical systemZL may instead have a configuration in which a lens or a lens groupclosest to the object side is added or a configuration in which a lensor a lens group closest to the image side is added. The lens grouprepresents a portion including at least one lens separated from anotherby an air space that changes at magnification change.

A focusing lens group may be a single lens group, a plurality of lensgroups, or a partial lens group moved in the optical axis direction tofocus upon from an infinite distance object to a close distance object.In this case, the focusing lens group can also be used to performautofocusing and is suitably driven with a motor for autofocusing (suchas an ultrasonic motor). In particular, it is preferable that thefocusing lens group is at least part (for example, the second lens groupG2) of the rear group GR as described above.

An anti-vibration lens group may be a lens group or a partial lens groupso moved as to have a component in a direction perpendicular to theoptical axis or rotated (swung) in an in-plane direction containing theoptical axis to correct an image blur caused by a shake of a hand. Inparticular, it is preferable that the anti-vibration lens group is atleast part (for example, the fourth lens group G4) of the rear group GR.

A lens surface may be so formed as to be a spherical surface, a flatsurface, or an aspheric surface. In the case where a lens surface is aspherical or flat surface, the lens is readily processed, assembled, andadjusted, whereby degradation in the optical performance due to errorsin the lens processing, assembly, and adjustment is preferably avoided.Further, even when an image plane is shifted, the amount of degradationin drawing performance is preferably small. In the case where the lenssurface is an aspheric surface, the aspheric surface may be any of aground aspheric surface, a glass molded aspheric surface that is a glasssurface so molded in a die as to have an aspheric shape, and a compositeaspheric surface that is a glass surface on which aspherically shapedresin is formed. The lens surface may instead be a diffractive surface,or the lenses may be any of a distributed index lens (GRIN lens) or aplastic lens.

An aperture stop S is preferably disposed in the rear group GR (forexample, near the third lens group G3 (on the image side of the thirdlens group G3 or in the third lens group G3)). Instead, no member as theaperture stop may be provided, and the frame of a lens may serve as theaperture stop.

Further, each lens surface may be provided with an antireflection filmhaving high transmittance over a wide wavelength range to achieve goodoptical performance that reduces flare and ghost and achieves highcontrast.

The magnification-variable optical system ZL of the present embodimenthas a magnification ratio of 1.2 to 3.0 approximately.

The configurations and conditions described above each provide theeffect described above, and all the configurations and conditions arenot necessarily satisfied. An optical system that satisfies any of theconfigurations and conditions or a combination of any of theconfigurations and conditions can provide the effects described above.

A method for manufacturing the magnification-variable optical system ZLaccording to any of the first to sixth embodiments will be schematicallydescribed below with reference to FIG. 22. First, lenses are disposed toprepare the first lens group G1 having negative refractive power and therear group GR including at least one lens group (step S100), and theselens groups are disposed (step S200). At step S200, the first lens groupG1 and the rear group GR are disposed so that the distance between lensgroups adjacent to each other changes at magnification change. In thiscase, when the rear group GR includes the second lens group G2 havingpositive refractive power and the third lens group G3 having positiverefractive power, the first lens group G1 and the rear group GR aredisposed so that the distance between the first lens group G1 and thesecond lens group G2 decreases and the second lens group G2 moves to theimage side wherein upon focusing from an infinite distance object to aclose distance object, and a negative meniscus lens having a convexsurface facing the object side is disposed at a position closest to theobject side in the first lens group G1. Furthermore, the first lensgroup G1 and the rear group GR are disposed so that a conditionexpressed by above-described Condition Expressions is satisfied (stepS300).

With the above-described configurations, it is possible to provide amagnification-variable optical system having a small size, a wide angleof view, and high optical performance, an optical apparatus includingthe magnification-variable optical system, and a method formanufacturing the magnification-variable optical system.

EXAMPLES

Examples of the present application will be described below withreference to the drawings. FIGS. 1, 3, 5, 7, 9, 11, 13, 15, 17, and 19are cross-sectional views showing the configurations ofmagnification-variable optical systems ZL (ZL1 to ZL10) according tofirst to tenth examples and the distribution of refractive power. Inlower portions of the cross-sectional views of themagnification-variable optical systems ZL1 to ZL10, directions in whichthe lens groups G1 to G3, G4, or G5 move along the optical axis atmagnification change from a wide-angle state (W) to a telescopic state(T) are shown by arrows.

In each example, an aspheric surface is expressed by the followingExpression (b).

In the expression,

y represents a height in a direction perpendicular to the optical axis,

S(y) represents the distance (sag amount) along the optical axis at theheight y from a plane tangential to the vertex of the aspheric surfaceto the aspheric surface,

r represents the radius of curvature (paraxial radius of curvature) of areference spherical surface,

K represents the conical constant, and

An represents an n-th-order aspheric coefficient. In the followingexamples, “E−n” represents “×10^(−n)”.

S(y)=(y ² /r)/{1+(1−K×y ² /r ²)^(1/2) }+A4×y ⁴ +A6×y ⁶ +A8×y ⁸ +A10×y ¹⁰+A12×y ¹² +A14×y ¹⁴  (a)

In each example, the second-order aspheric coefficient A2 is zero. In atable in each example, an aspheric surface is affixed with a mark * onthe right of a surface number.

First Example

FIG. 1 shows a configuration of a magnification-variable optical systemZL1 according to the first example. The magnification-variable opticalsystem ZL1 includes, sequentially from the object side, a first lensgroup G1 having negative refractive power and a rear group GR havingpositive refractive power. The rear group GR includes, sequentially fromthe object side, a second lens group G2 having positive refractivepower, a third lens group G3 having positive refractive power, a fourthlens group G4 having negative refractive power, and a fifth lens groupG5 having positive refractive power.

In the magnification-variable optical system ZL1, the first lens groupG1 includes, sequentially from the object side, an aspheric negativelens L11 having an aspheric lens surface on the object side and anaspheric lens surface on the image side and shaped in a negativemeniscus lens having a convex surface facing the object side, anaspheric negative lens L12 having an aspheric lens surface on the imageside and shaped in a negative meniscus lens having a convex surfacefacing the object side, a biconcave negative lens L13, and a biconvexpositive lens L14. The second lens group G2 includes, sequentially fromthe object side, a positive meniscus lens L21 having a convex surfacefacing the object side, and a cemented lens formed by cementing anegative meniscus lens L22 having a convex surface facing the objectside and a biconvex positive lens L23 to each other. The third lensgroup G3 is formed of a cemented lens formed by cementing a negativemeniscus lens L31 having a convex surface facing the object side and abiconvex positive lens L32 to each other sequentially from the objectside. The fourth lens group G4 includes, sequentially from the objectside, a cemented lens formed by cementing a biconcave negative lens L41and a positive meniscus lens L42 having a convex surface facing theobject side to each other, and a biconvex positive lens L43. The fifthlens group G5 includes, sequentially from the object side, a cementedlens formed by cementing a biconvex positive lens L51 and a negativemeniscus lens L52 having a concave surface facing the object side toeach other, a cemented lens formed by cementing a negative meniscus lensL53 having a convex surface facing the object side and a biconvexpositive lens L54 to each other, and an aspheric negative lens L55having an aspheric lens surface on the image side and shaped in anegative meniscus lens having a concave surface facing the object side.A filter FL is disposed between the fifth lens group G5 and an imageplane I.

In the magnification-variable optical system ZL1, at magnificationchange from the wide-angle state to the telescopic state, the first lensgroup G1 moves to the image side and the second lens group G2, the thirdlens group G3, the fourth lens group G4, and the fifth lens group G5move to the object side so that the distance between the first lensgroup G1 and the second lens group G2 decreases, the distance betweenthe second lens group G2 and the third lens group G3 increases, thedistance between the third lens group G3 and the fourth lens group G4increases, the distance between the fourth lens group G4 and the fifthlens group G5 decreases, and the distance (back focus) between the fifthlens group G5 and the image plane I increases. An aperture stop S isdisposed between the third lens group G3 and the fourth lens group G4and moves together with the fourth lens group G4 at magnificationchange.

The magnification-variable optical system ZL1 performs focusing uponfrom an infinite distance object to a close distance object by movingthe second lens group G2 to the image side.

Table 1 below shows values of specifications of themagnification-variable optical system ZL1. In Table 1, the followingspecifications shown as overall specifications are defined as follows: frepresents the overall focal length; FNO represents the F number, 2ωrepresents the full angle of view; Ymax represents the maximum imageheight; TL represents the total length of the optical system; and Bfrepresents the back focus. The total length of the optical system TLrepresents the distance along the optical axis from a first surface of alens surface at focusing on an object at infinity to the image plane I.The back focus Bf represents the distance along the optical axis from alens surface (the thirty-second surface in FIG. 1) closest to the imageside to the image plane I. In the lens data, a first field m shows thesequence of the lens surfaces (surface numbers) counted from the objectside in a direction in which the rays travel. A second field r shows theradius of curvature of each lens surface. A third field d shows anon-axis distance (inter-surface distance) from each optical surface tothe following optical surface. A fourth field nd and a fifth field νdshow the refractive index and the Abbe number at the d line (λ=587.6nm). A radius of curvature of 0.0000 represents a flat surface, therefractive index of air, which is 1.000000, is omitted. The lens groupfocal length shows the first surface and the focal length of each of thefirst to fifth lens groups G1 to G5.

The unit of each of the focal length f, the radius of curvature r, theinter-surface distance d, and other lengths shown in all the variety ofspecifications below is typically “mm”, but not limited to this, becausean optical system provides the same optical performance even when theoptical system is proportionally enlarged or reduced. Further, thedescription of the reference characters and the description of thespecification tables hold true for those in the following examples.

In Table 1, the eighteenth surface corresponds to the aperture stop S,and the ninth surface, the twenty-fourth surface, and the thirty-thirdsurface correspond to virtual surfaces. An auxiliary aperture may bedisposed at the twenty-fourth surface.

In a case in which a filter is disposed on the object side in themagnification-variable optical system ZL1, the filter is disposed at aposition separated by 6.10 mm on the object side from the first surface.

TABLE 1 First example [Overall specifications] Wide-angle Intermediatefocal- Telescopic state length state state f = 14.400 to 18.000 to20.000 to 23.300 FNO = 2.91 to 2.91 to 2.91 to 2.91 2ω (°) = 114.737 to100.340 to 93.766 to 84.519 Ymax = 21.600 to 21.600 to 21.600 to 21.600TL (air 161.247 to 157.019 to 156.182 to 155.795 equivalent length) = Bf(air 38.106 to 43.995 to 47.450 to 53.389 equivalent length) = [Lensdata] m r d nd νd Object plane ∞  1* 220.0000 3.2000 1.588870 61.13  2*17.8900 12.8517   3 129.4201 2.0000 1.820980 42.50  4* 32.1806 10.9734  5 −45.0029 1.7000 1.433848 95.23  6 53.1259 1.1806  7 46.0796 5.32841.834000 37.18  8 −278.7554 d8   9 0.0000 d9  10 40.5745 2.8000 1.69895030.13 11 289.5688 0.2000 12 85.2105 1.1000 1.963000 24.11 13 19.64025.0000 1.688930 31.16 14 −402.4157 d14 15 136.9524 1.1000 1.834810 42.7316 39.2521 5.0000 1.516800 64.13 17 −33.8194 d17 18 0.0000 4.3181Aperture stop S 19 −29.4115 1.1000 1.953750 32.33 20 26.8911 3.70001.846660 23.80 21 28206.6500 0.2000 22 60.6032 2.7000 1.846660 23.80 23−199.9962 1.5000 24 0.0000 d24 25 27.2496 8.6000 1.497820 82.57 26−22.2560 1.2000 1.834000 37.18 27 −31.7894 0.2000 28 304.4905 1.20001.834000 37.18 29 22.3340 6.9000 1.497820 82.57 30 −74.7302 1.1469 31−66.1084 1.6000 1.860999 37.10 32* −70.6675 d32 33 0.0000 35.2000  340.0000 2.0000 1.516800 64.13 35 0.0000 1.2329 Image plane ∞ [Focallength of lens groups] Lens group First surface Focal length First lensgroup 1 −21.147 Second lens group 10 68.510 Third lens group 15 87.743Fourth lens group 19 −76.490 Fifth lens group 25 46.500

In the magnification-variable optical system ZL1, the first surface, thesecond surface, the fourth surface, and the thirty-second surface haveaspheric lens surfaces. Table 2 below shows data of the asphericsurfaces of the respective surfaces, in other words, the values of theconical constant K and the aspheric constants A4 to A12.

TABLE 2 [Data on aspherical surface] First surface K = 1.0000 A4 =1.21050E−05 A6 = −1.90441E−08 A8 = 2.08981E−11 A10 = −1.26480E−14 A12 =3.59780E−18 A14 = 0.00000E+00 Second surface K = 0.0000 A4 = 5.30134E−06A6 = 1.33691E−08 A8 = −2.53693E−11 A10 = −2.12112E−13 A12 = 3.35890E−16A14 = 0.00000E+00 Fourth surface K = 2.0000 A4 = 1.46984E−05 A6 =6.92202E−09 A8 = −3.91814E−11 A10 = 7.84867E−13 A12 = −1.29570E−15 A14 =0.00000E+00 Thirty-second K = 1.0000 surface A4 = 1.34572E−05 A6 =1.92171E−08 A8 = 1.11927E−10 A10 = −3.98100E−13 A12 = 1.67540E−15 A14 =0.00000E+00

In the magnification-variable optical system ZL1, on-axis air spaces d8and d9 between the first lens group G1 and the second lens group G2, anon-axis air space d14 between the second lens group G2 and the thirdlens group G3, an on-axis air space d17 between the third lens group G3and the fourth lens group G4, an on-axis air space d24 between thefourth lens group G4 and the fifth lens group G5, and an on-axis airspace d32 between the fifth lens group G5 and the filter FL change atmagnification change and focusing. Table 3 below shows the values ofvariable distances at focal lengths in the wide-angle state, theintermediate focal-length state, and the telescopic state at each offocusing on an object at infinity, focusing on an object at a closedistance, and focusing on an object at the closest distance. In Table 3,f represents the focal length, β represents the magnification, and d0represents the distance from the first surface to an object. Thedescription also holds true for the following examples.

TABLE 3 [Variable distance data] Wide-angle Intermediate focal-Telescopic state length state state -Focusing on an object at infinity-f 14.400 18.000 20.000 23.300 d0 ∞ ∞ ∞ ∞ d8 23.7380 12.2188 7.52001.5000 d9 0.0000 0.0000 0.0000 0.0000 d14 4.7891 8.6308 9.6629 9.6567d17 1.5000 2.9738 3.6783 4.4505 d24 6.3147 2.4012 1.0722 0.0000 d320.5000 6.3712 9.8216 15.7968 -Focusing on an object at a close distance-β −0.025 −0.025 −0.025 −0.025 d0 543.6970 688.7637 769.2222 901.8471 d823.7380 12.2188 7.5200 1.5000 d9 0.8063 0.6504 0.5966 0.5323 d14 3.98287.9804 9.0662 9.1244 d17 1.5000 2.9738 3.6783 4.4505 d24 6.3147 2.40121.0722 0.0000 d32 0.5000 6.3712 9.8216 15.7968 -Focusing on an object atthe closest distance- β −0.104 −0.128 −0.141 −0.165 d0 111.9714 116.1994117.0364 117.4232 d8 23.7380 12.2188 7.5200 1.5000 d9 3.2248 3.16363.2073 3.3250 d14 1.5643 5.4672 6.4555 6.3318 d17 1.5000 2.9738 3.67834.4505 d24 6.3147 2.4012 1.0722 0.0000 d32 0.5000 6.3712 9.8216 15.7968

Table 4 below shows values compliant to the condition expressions in themagnification-variable optical system ZL1. In the magnification-variableoptical system ZL1, the specific negative lens is the biconcave negativelens L13, and the specific lens is each of the biconvex positive lensL51 and the biconvex positive lens L54.

TABLE 4 Σν1n = 198.86 Σ (ν1n × f1n) = −9591.491 STLw = 82.461 fL1 =−33.265 fL2 = −52.658 [Values compliant to conditional expressions] (1)ν1n = 95.23 (2) nL2/nL1 = 1.146 (3) N1n = 3 (4) 2ωw = 114.737° (5) nL1 =1.589 (6) fw × (−f1)/Fnow = 106.475 mm² (7) (L1r2 + L1r1)/(L1r2 − L1r1)= −1.177 (8) (Σν1n)/N1n = 66.287 (9) (Σ (ν1n × f1n))/(N1n × f1) =148.588 (10) Bfw/fw = 2.646 (11) STLw/TLw = 0.511 (12) (−f1)/fw = 1.494(13) (−f1)/ft = 0.923 (14) fL1/f1 = 1.546 (15) fL2/f1 = 2.447 (16)TLw/Bfw = 4.232 (17) (L2r2 + L2r1)/(L2r2 − L2r1) = −1.662 (18) (L3r2 +L3r1)/(L3r2 − L3r1) = 0.083 (19) νr = 82.57 (20) Fnow = 2.91 (21) Fnot =2.91

As described above, the magnification-variable optical system ZL1satisfies all Conditional Expressions (1) to (21) described above.

FIG. 2 shows a variety of aberration diagrams of themagnification-variable optical system ZL1 in the wide-angle state andthe telescopic state at focusing on an object at infinity. In eachaberration diagram, FNO represents the F number, and Y represents theimage height. The spherical aberration diagram shows the value of the Fnumber corresponding to the maximum aperture, the astigmatism diagramand the distortion diagram each show the maximum value of the imageheight, and the transverse aberration diagram shows the value of eachimage height. Reference character d represents the d line (λ=587.6 nm),and reference character g represents the g line (λ=435.8 nm). In theastigmatism diagram, the solid line represents the sagittal image plane,and the dashed line represents the meridional image plane. Further, inthe aberration diagrams in the following examples, the same referencecharacters as those in the present example are used. The variety ofaberration diagrams show that the magnification-variable optical systemZL1 allows favorable correction of the variety of aberrations from thewide-angle state to the telescopic state and provides excellent imagingperformance.

Second Example

FIG. 3 shows a configuration of a magnification-variable optical systemZL2 according to the second example. The magnification-variable opticalsystem ZL2 includes, sequentially from the object side, a first lensgroup G1 having negative refractive power and a rear group GR havingpositive refractive power. The rear group GR includes, sequentially fromthe object side, a second lens group G2 having positive refractivepower, a third lens group G3 having positive refractive power, a fourthlens group G4 having negative refractive power, and a fifth lens groupG5 having positive refractive power.

In the magnification-variable optical system ZL2, the first lens groupG1 includes, sequentially from the object side, an aspheric negativelens L11 having an aspheric lens surface on the object side and anaspheric lens surface on the image side and shaped in a negativemeniscus lens having a convex surface facing the object side, anaspheric negative lens L12 having an aspheric lens surface on the imageside and shaped in a negative meniscus lens having a convex surfacefacing the object side, a biconcave negative lens L13, and a biconvexpositive lens L14. The second lens group G2 includes, sequentially fromthe object side, a positive meniscus lens L21 having a convex surfacefacing the object side, and a cemented lens formed by cementing anegative meniscus lens L22 having a convex surface facing the objectside and a biconvex positive lens L23 to each other. The third lensgroup G3 is formed of a cemented lens formed by cementing a negativemeniscus lens L31 having a convex surface facing the object side and abiconvex positive lens L32 to each other sequentially from the objectside. The fourth lens group G4 includes, sequentially from the objectside, a cemented lens formed by cementing a biconcave negative lens L41and a biconvex positive lens L42 to each other, and a biconvex positivelens L43. The fifth lens group G5 includes, sequentially from the objectside, a cemented lens formed by cementing a biconvex positive lens L51and a negative meniscus lens L52 having a concave surface facing theobject side to each other, a cemented lens formed by cementing anegative meniscus lens L53 having a convex surface facing the objectside and a biconvex positive lens L54 to each other, and an asphericnegative lens L55 having an aspheric lens surface on the image side andshaped in a negative meniscus lens having a concave surface facing theobject side. A filter FL is disposed between the fifth lens group G5 andan image plane I.

In the magnification-variable optical system ZL2, at magnificationchange from the wide-angle state to the telescopic state, the first lensgroup G1 moves to the image side and the second lens group G2, the thirdlens group G3, the fourth lens group G4, and the fifth lens group G5move to the object side so that the distance between the first lensgroup G1 and the second lens group G2 decreases, the distance betweenthe second lens group G2 and the third lens group G3 changes, thedistance between the third lens group G3 and the fourth lens group G4increases, the distance between the fourth lens group G4 and the fifthlens group G5 decreases, and the distance (back focus) between the fifthlens group G5 and the image plane I increases. An aperture stop S isdisposed between the third lens group G3 and the fourth lens group G4and moves together with the fourth lens group G4 at magnificationchange.

The magnification-variable optical system ZL2 performs focusing uponfrom an infinite distance object to a close distance object by movingthe second lens group G2 to the image side.

Table 5 below shows the values of specifications of themagnification-variable optical system ZL2.

In Table 5, the eighteenth surface corresponds to the aperture stop S,and the ninth surface, the twenty-fourth surface, and the thirty-thirdsurface correspond to virtual surfaces. An auxiliary aperture may bedisposed at the twenty-fourth surface.

In a case in which a filter is disposed on the object side in themagnification-variable optical system ZL2, the filter is disposed at aposition separated by 6.10 mm on the object side from the first surface.

TABLE 5 Second example [Overall specifications] Wide-angle Intermediatefocal- Telescopic state length state state f = 14.400 to 18.000 to20.000 to 23.300 FNO = 2.91 to 2.91 to 2.91 to 2.91 2ω (°) = 114.733 to100.255 to 93.680 to 84.518 Ymax = 21.600 to 21.600 to 21.600 to 21.600TL (air 157.612 to 154.540 to 154.421 to 153.680 equivalent length) = Bf(air 38.098 to 43.918 to 47.289 to 53.515 equivalent length) = [Lensdata] m r d nd νd Object plane ∞  1* 205.1729 3.1000 1.588870 61.13  2*17.5567 12.8326   3 114.0778 2.0000 1.851080 40.12  4* 31.6290 10.7225  5 −46.1746 1.7000 1.433848 95.23  6 64.9422 0.2000  7 43.9857 4.95631.850260 32.35  8 −739.0819 d8   9 0.0000 d9  10 52.0829 2.4000 1.75520027.57 11 298.7151 0.2000 12 68.9680 1.1000 1.963000 24.11 13 18.98814.7000 1.737999 32.33 14 −2022.5978 d14 15 286.5992 1.1000 1.95000029.37 16 46.7172 4.6000 1.531720 48.78 17 −31.7120 d17 18 0.0000 4.4042Aperture stop S 19 −27.9959 1.1000 1.953750 32.33 20 28.8462 3.70001.846660 23.80 21 −557.2164 0.2000 22 68.8702 2.8000 1.963000 24.11 23−141.5400 1.5000 24 0.0000 d24 25 27.3401 8.6000 1.497820 82.57 26−22.2407 1.2000 1.834000 37.18 27 −31.9295 0.2000 28 392.1080 1.20001.834000 37.18 29 22.3559 7.0000 1.497820 82.57 30 −57.4736 1.0035 31−58.3185 1.5000 1.860999 37.10 32* −71.1156 d32 33 0.0000 35.2000  340.0000 2.0000 1.516800 64.13 35 0.0000 1.2329 Image plane ∞ [Focallength of lens groups] Lens group First surface Focal length First lensgroup 1 −21.147 Second lens group 10 68.510 Third lens group 15 87.743Fourth lens group 19 −76.490 Fifth lens group 25 46.500

In the magnification-variable optical system ZL2, the first surface, thesecond surface, the fourth surface, and the thirty-second surface haveaspheric lens surfaces. Table 6 below shows the surface number m anddata of the aspheric surfaces, in other words, the values of the conicalconstant K and the aspheric constants A4 to A12.

TABLE 6 [Data on aspherical surface] First surface K = 1.0000 A4 =1.15717E−05 A6 = −1.66721E−08 A8 = 1.77522E−11 A10 = −1.04794E−14 A12 =3.05490E−18 A14 = 0.00000E+00 Second surface K = 0.0000 A4 = 4.54275E−06A6 = 1.13567E−08 A8 = 1.93629E−11 A10 = −3.22207E−13 A12 = 4.31580E−16A14 = 0.00000E+00 Fourth surface K = 2.0000 A4 = 1.46075E−05 A6 =1.38300E−08 A8 = −7.82738E−11 A10 = 9.13879E−13 A12 = −1.45480E−15 A14 =0.00000E+00 Thirty-second surface K = 1.0000 A4 = 1.36004E−05 A6 =2.06160E−08 A8 = 8.92060E−11 A10 = −2.49786E−13 A12 = 1.19380E−15 A14 =0.00000E+00

In the magnification-variable optical system ZL2, the on-axis air spacesd8 and d9 between the first lens group G1 and the second lens group G2,the on-axis air space d14 between the second lens group G2 and the thirdlens group G3, the on-axis air space d17 between the third lens group G3and the fourth lens group G4, the on-axis air space d24 between thefourth lens group G4 and the fifth lens group G5, and the on-axis airspace d32 between the fifth lens group G5 and the filter FL change atmagnification change and focusing. Table 7 below shows the values ofvariable distances at focal lengths in the wide-angle state, theintermediate focal-length state, and the telescopic state at each offocusing on an object at infinity, focusing on an object at a closedistance, and focusing on an object at the closest distance.

TABLE 7 [Variable distance data] Wide-angle Intermediate focal-Telescopic state length state state -Focusing on an object at infinity-f 14.400 18.000 20.000 23.300 d0 ∞ ∞ ∞ ∞ d8 22.8572 11.8896 7.42551.5000 d9 0.0000 0.0000 0.0000 0.0000 d14 4.7767 8.7786 10.0600 9.3930d17 1.5000 3.6452 4.8753 5.2525 d24 6.3610 2.2891 0.7521 0.0000 d320.5000 6.2202 9.5924 15.8643 -Focusing on an object at a close distance-β −0.025 −0.025 −0.025 −0.025 d0 543.9428 689.0016 769.4614 902.1315 d822.8572 11.8896 7.4255 1.5000 d9 0.7774 0.6310 0.5801 0.5199 d14 3.99948.1476 9.4799 8.8730 d17 1.5000 3.6452 4.8753 5.2525 d24 6.3610 2.28910.7521 0.0000 d32 0.5000 6.2202 9.5924 15.8643 -Focusing on an object atthe closest distance- β −0.102 −0.126 −0.140 −0.163 d0 115.6064 118.6787118.7977 119.5385 d8 22.8572 11.8896 7.4255 1.5000 d9 3.0354 3.02133.0846 3.2044 d14 1.7414 5.7572 6.9754 6.1886 d17 1.5000 3.6452 4.87535.2525 d24 6.3610 2.2891 0.7521 0.0000 d32 0.5000 6.2202 9.5924 15.8643

Table 8 below shows values compliant to the condition expressions in themagnification-variable optical system ZL2. In the magnification-variableoptical system ZL2, the specific negative lens is the biconcave negativelens L13, and the specific lens is each of the biconvex positive lensL51 and the biconvex positive lens L54.

TABLE 8 Σν1n = 196.48 Σ (ν1n × f1n) = −9987.927 STLw = 78.745 fL1 =−32.805 fL2 = −52.000 [Values compliant to conditional expressions] (1)ν1n = 95.23 (2) nL2/nL1 = 1.165 (3) N1n = 3 (4) 2ωw = 114.733° (5) nL1 =1.589 (6) fw × (−f1)/Fnow = 104.645 mm² (7) (L1r2 + L1r1)/(L1r2 − L1r1)= −1.187 (8) (Σν1n)/N1n = 65.493 (9) (Σ (ν1n × f1n))/(N1n × f1) =157.436 (10) Bfw/fw = 2.646 (11) STLw/TLw = 0.500 (12) (−f1)/fw = 1.469(13) (−f1)/ft = 0.908 (14) fL1/f1 = 1.551 (15) fL2/f1 = 2.459 (16)TLw/Bfw = 4.137 (17) (L2r2 + L2r1)/(L2r2 − L2r1) = −1.767 (18) (L3r2 +L3r1)/(L3r2 − L3r1) = 0.169 (19) νr = 82.57 (20) Fnow = 2.91 (21) Fnot =2.91

As described above, the magnification-variable optical system ZL2satisfies all Conditional Expressions (1) to (21) described above.

FIG. 4 shows a variety of aberration diagrams of themagnification-variable optical system ZL2 in the wide-angle state andthe telescopic state at focusing on an object at infinity. The varietyof aberration diagrams show that the magnification-variable opticalsystem ZL2 allows favorable correction of the variety of aberrationsfrom the wide-angle state to the telescopic state and provides excellentimaging performance.

Third Example

FIG. 5 shows a configuration of a magnification-variable optical systemZL3 according to the third example. The magnification-variable opticalsystem ZL3 includes, sequentially from the object side, a first lensgroup G1 having negative refractive power and a rear group GR havingpositive refractive power. The rear group GR includes, sequentially fromthe object side, a second lens group G2 having positive refractivepower, a third lens group G3 having positive refractive power, a fourthlens group G4 having negative refractive power, and a fifth lens groupG5 having positive refractive power.

In the magnification-variable optical system ZL3, the first lens groupG1 includes, sequentially from the object side, aspheric negative lensL11 having an aspheric lens surface on the object side and an asphericlens surface on the image side and shaped in a negative meniscus lenshaving a convex surface facing the object side, an aspheric negativelens L12 having an aspheric lens surface on the image side and shaped ina biconcave negative lens, a biconcave negative lens L13, and a biconvexpositive lens L14. The second lens group G2 includes, sequentially fromthe object side, a positive meniscus lens L21 having a convex surfacefacing the object side, and a cemented lens formed by cementing anegative meniscus lens L22 having a convex surface facing the objectside and a positive meniscus lens L23 having a convex surface facing theobject side to each other. The third lens group G3 is formed of acemented lens formed by cementing a negative meniscus lens L31 having aconvex surface facing the object side and a biconvex positive lens L32to each other sequentially from the object side. The fourth lens groupG4 includes, sequentially from the object side, a cemented lens formedby cementing a biconcave negative lens L41 and a positive meniscus lensL42 having a convex surface facing the object side to each other, and abiconvex positive lens L43. The fifth lens group G5 includes,sequentially from the object side, a cemented lens formed by cementing abiconvex positive lens L51 and a negative meniscus lens L52 having aconcave surface facing the object side to each other, and a cementedlens formed by cementing a negative meniscus lens L53 having a convexsurface facing the object side, a biconvex positive lens L54, and anaspheric positive lens L55 having an aspheric lens surface on the imageside and shaped in a positive meniscus lens having a concave surfacefacing the object side to each other. A filter FL is disposed betweenthe fifth lens group G5 and an image plane I.

In the magnification-variable optical system ZL3, at magnificationchange from the wide-angle state to the telescopic state, the first lensgroup G1 moves to the image side and the second lens group G2, the thirdlens group G3, the fourth lens group G4, and the fifth lens group G5move to the object side so that the distance between the first lensgroup G1 and the second lens group G2 decreases, the distance betweenthe second lens group G2 and the third lens group G3 changes, thedistance between the third lens group G3 and the fourth lens group G4increases, the distance between the fourth lens group G4 and the fifthlens group G5 decreases, and the distance (back focus) between the fifthlens group G5 and the image plane I increases. An aperture stop S isdisposed between the third lens group G3 and the fourth lens group G4and moves together with the third lens group G3 at magnification change.

The magnification-variable optical system ZL3 performs focusing uponfrom an infinite distance object to a close distance object by movingthe second lens group G2 to the image side.

Table 9 below shows the values of specifications of themagnification-variable optical system ZL3.

In Table 9, the eighteenth surface corresponds to the aperture stop S,and the ninth surface, the twenty-fourth surface, and the thirty-secondsurface correspond to virtual surfaces. An auxiliary aperture may bedisposed at the twenty-fourth surface.

In a case in which a filter is disposed on the object side in themagnification-variable optical system ZL3, the filter is disposed at aposition separated by 6.10 mm on the object side from the first surface.

TABLE 9 Third example [Overall specifications] Wide-angle Intermediatefocal- Telescopic state length state state f = 14.400 to 18.000 to20.000 to 23.300 FNO = 2.91 to 2.91 to 2.91 to 2.91 2ω (°) = 114.733 to100.259 to 93.684 to 84.519 Ymax = 21.600 to 21.600 to 21.600 to 21.600TL (air 165.966 to 158.445 to 157.021 to 155.742 equivalent length) = Bf(air 38.086 to 43.089 to 46.279 to 52.057 equivalent length) = [Lensdata] m r d nd νd Object plane ∞  1* 140.3310 3.1000 1.588870 61.13  2*16.1170 15.8352   3 −2522.8076 2.0000 1.773870 47.25  4* 45.4385 8.5558 5 −66.8335 1.7000 1.433848 95.23  6 43.6375 1.7140  7 42.3398 5.92801.804400 39.61  8 −378.8325 d8   9 0.0000 d9  10 52.1540 2.4000 1.77250049.62 11 265.8146 0.2000 12 59.4781 1.1000 1.963000 24.11 13 18.89964.8000 1.731275 27.55 14 232.8799 d14 15 82.9424 1.1000 1.953750 32.3316 35.0373 5.0000 1.525765 50.70 17 −39.0273 1.5000 18 0.0000 d18Aperture stop S 19 −39.0466 1.1000 1.953750 32.33 20 27.5192 3.30001.808090 22.74 21 182.0962 0.2000 22 56.9782 2.7000 1.963000 24.11 23−407.2260 1.5000 24 0.0000 d24 25 26.0879 8.5000 1.497820 82.57 26−22.3629 1.2000 1.883000 40.66 27 −30.9657 0.2000 28 1576.0034 1.20001.834000 37.18 29 20.7858 6.8000 1.497820 82.57 30 −78.3274 1.80001.860999 37.10 31* −75.8550 d31 32 0.0000 35.2000  33 0.0000 2.00001.516800 64.13 34 0.0000 1.0651 Image plane ∞ [Focal length of lensgroups] Lens group First surface Focal length First lens group 1 −22.503Second lens group 10 76.247 Third lens group 15 78.275 Fourth lens group19 −72.637 Fifth lens group 25 48.145

In the magnification-variable optical system ZL3, the first surface, thesecond surface, the fourth surface, and the thirty-first surface haveaspheric lens surfaces. Table 10 below shows the surface number m anddata of the aspheric surfaces, in other words, the values of the conicalconstant K and the aspheric constants A4 to A12.

TABLE 10 [Data on aspherical surface] First surface K = 1.0000 A4 =4.25491E−06 A6 = −4.84680E−09 A8 = 5.09007E−12 A10 = −2.74937E−15 A12 =7.56860E−19 A14 = 0.00000E+00 Second surface K = 0.0000 A4 = 2.95160E−06A6 = 8.42874E−09 A8 = −1.70913E−11 A10 = −2.10307E−14 A12 = −1.26170E−17A14 = 0.00000E+00 Fourth surface K = 2.0000 A4 = 1.31082E−05 A6 =−2.47332E−09 A8 = 9.40637E−11 A10 = −1.72001E−13 A12 = 3.42270E−16 A14 =0.00000E+00 Thirty-first surface K = 1.0000 A4 = 1.28263E−05 A6 =1.08911E−08 A8 = 2.06427E−10 A10 = −8.83154E−13 A12 = 2.93050E−15 A14 =0.00000E+00

In the magnification-variable optical system ZL3, the on-axis air spacesd8 and d9 between the first lens group G1 and the second lens group G2,the on-axis air space d14 between the second lens group G2 and the thirdlens group G3, the on-axis air space d18 between the third lens group G3and the fourth lens group G4, the on-axis air space d24 between thefourth lens group G4 and the fifth lens group G5, and the on-axis airspace d31 between the fifth lens group G5 and the filter FL change atmagnification change and focusing. Table 11 below shows the values ofvariable distances at focal lengths in the wide-angle state, theintermediate focal-length state, and the telescopic state at each offocusing on an object at infinity, focusing on an object at a closedistance, and focusing on an object at the closest distance.

TABLE 11 [Variable distance data] Wide-angle Intermediate focal-Telescopic state length state state -Focusing on an object at infinity-f 14.400 18.000 20.000 23.300 d0 ∞ ∞ ∞ ∞ d8 25.0258 12.9539 7.95501.5000 d9 0.0000 0.0000 0.0000 0.0000 d14 5.9986 9.9520 10.6450 10.4616d18 3.3743 6.3751 7.4841 8.2905 d24 7.0481 2.6418 1.2253 0.0000 d310.5000 5.4031 8.6154 14.3923 -Focusing on an object at a close distance-β −0.025 −0.025 −0.025 −0.025 d0 543.4416 688.5066 768.9767 901.6419 d825.0258 12.9539 7.9550 1.5000 d9 0.8802 0.7142 0.6565 0.5876 d14 5.11839.2378 9.9885 9.8739 d18 3.3743 6.3751 7.4841 8.2905 d24 7.0481 2.64181.2253 0.0000 d31 0.5000 5.4031 8.6154 14.3923 -Focusing on an object atthe closest distance- β −0.106 −0.129 −0.142 −0.165 d0 110.2525 114.7733116.1976 117.4763 d8 25.0258 12.9539 7.9550 1.5000 d9 3.5539 3.49893.5405 3.6597 d14 2.4447 6.4532 7.1046 6.8019 d18 3.3743 6.3751 7.48418.2905 d24 7.0481 2.6418 1.2253 0.0000 d31 0.5000 5.4031 8.6154 14.3923

Table 12 below shows values compliant to the condition expressions inthe magnification-variable optical system ZL3. In themagnification-variable optical system ZL3, the specific negative lens isthe biconcave negative lens L13, and the specific lens is each of thebiconvex positive lens L51 and the biconvex positive lens L54.

TABLE 12 Σν1n = 203.61 Σ (ν1n × f1n) = −10400.130 STLw = 85.957 fL1 =−31.209 fL2 = −57.658 [Values compliant to conditional expressions] (1)ν1n = 95.23 (2) nL2/nL1 = 1.116 (3) N1n = 3 (4) 2ωw = 114.733° (5) nL1 =1.589 (6) fw × (−f1)/Fnow = 111.353 mm² (7) (L1r2 + L1r1)/(L1r2 − L1r1)= −1.260 (8) (Σν1n)/N1n = 67.870 (9) (Σ (ν1n × f1n))/(N1n × f1) =154.058 (10) Bfw/fw = 2.645 (11) STLw/TLw = 0.527 (12) (−f1)/fw = 1.563(13) (−f1)/ft = 0.966 (14) fL1/f1 = 1.387 (15) fL2/f1 = 2.562 (16)TLw/Bfw = 4.279 (17) (L2r2 + L2r1)/(L2r2 − L2r1) = −0.965 (18) (L3r2 +L3r1)/(L3r2 − L3r1) = −0.210 (19) νr = 82.57 (20) Fnow = 2.91 (21) Fnot= 2.91

As described above, the magnification-variable optical system ZL3satisfies all Conditional Expressions (1) to (21) described above.

FIG. 6 shows a variety of aberration diagrams of themagnification-variable optical system ZL3 in the wide-angle state andthe telescopic state at focusing on an object at infinity. The varietyof aberration diagrams show that the magnification-variable opticalsystem ZL3 allows favorable correction of the variety of aberrationsfrom the wide-angle state to the telescopic state and provides excellentimaging performance.

Fourth Example

FIG. 7 shows a configuration of a magnification-variable optical systemZL4 according to the fourth example. The magnification-variable opticalsystem ZL4 includes, sequentially from the object side, a first lensgroup G1 having negative refractive power and a rear group GR havingpositive refractive power. The rear group GR includes, sequentially fromthe object side, a second lens group G2 having positive refractivepower, a third lens group G3 having positive refractive power, a fourthlens group G4 having negative refractive power, and a fifth lens groupG5 having positive refractive power.

In the magnification-variable optical system ZL4, the first lens groupG1 includes, sequentially from the object side, an aspheric negativelens L11 having an aspheric lens surface on the object side and anaspheric lens surface on the image side and shaped in a negativemeniscus lens having a convex surface facing the object side, anaspheric negative lens L12 having an aspheric lens surface on the imageside and shaped in a negative meniscus lens having a convex surfacefacing the object side, a biconcave negative lens L13, and a biconvexpositive lens L14. The second lens group G2 includes, sequentially fromthe object side, a positive meniscus lens L21 having a convex surfacefacing the object side, and a cemented lens formed by cementing anegative meniscus lens L22 having a convex surface facing the objectside and a biconvex positive lens L23 to each other. The third lensgroup G3 is formed of a cemented lens formed by cementing a negativemeniscus lens L31 having a convex surface facing the object side and abiconvex positive lens L32 to each other sequentially from the objectside. The fourth lens group G4 includes sequentially from the objectside, a cemented lens formed by cementing a biconcave negative lens L41and a biconvex positive lens L42 to each other, and a positive meniscuslens L43 having a convex surface facing the object side. The fifth lensgroup G5 includes, sequentially from the object side, a cemented lensformed by cementing a biconvex positive lens L51 and a negative meniscuslens L52 having a concave surface facing the object side to each other,and a cemented lens formed by cementing a negative meniscus lens L53having a convex surface facing the object side, a biconvex positive lensL54, and an aspheric positive lens L55 having an aspheric lens surfaceon the image side and shaped in a positive meniscus lens having aconcave surface facing the object side to each other. A filter FL isdisposed between the fifth lens group G5 and an image plane I.

In the magnification-variable optical system ZL4, at magnificationchange from the wide-angle state to the telescopic state, the first lensgroup G1 moves to the image side and the second lens group G2, the thirdlens group G3, the fourth lens group G4, and the fifth lens group G5move to the object side so that the distance between the first lensgroup G1 and the second lens group G2 decreases, the distance betweenthe second lens group G2 and the third lens group G3 changes, thedistance between the third lens group G3 and the fourth lens group G4increases, the distance between the fourth lens group G4 and the fifthlens group G5 decreases, and the distance (back focus) between the fifthlens group G5 and the image plane I increases. An aperture stop S isdisposed between the third lens group G3 and the fourth lens group G4and moves together with the third lens group G3 at magnification change.

The magnification-variable optical system ZL4 performs focusing uponfrom an infinite distance object to a close distance object by movingthe second lens group G2 to the image side.

Table 13 below shows the values of specifications of themagnification-variable optical system ZL4.

In Table 13, the eighteenth surface corresponds to the aperture stop S,and the ninth surface, the twenty-fourth surface, and the thirty-secondsurface correspond to virtual surfaces. An auxiliary aperture may bedisposed at the twenty-fourth surface.

In a case in which a filter is disposed on the object side in themagnification-variable optical system ZL4, the filter is disposed at aposition separated by 6.10 mm on the object side from the first surface.

TABLE 13 Fourth example [Overall specifications] Wide-angle Intermediatefocal- Telescopic state length state state f = 14.400 to 18.000 to20.000 to 23.300 FNO = 2.91 to 2.91 to 2.91 to 2.91 2ω (°) = 114.734 to100.512 to 93.875 to 84.519 Ymax = 21.600 to 21.600 to 21.600 to 21.600TL (air 159.177 to 154.664 to 153.790 to 153.659 equivalent length) = Bf(air 38.070 to 43.957 to 47.366 to 53.184 equivalent length) = [Lensdata] m r d nd νd Object plane ∞  1* 90.3166 3.1000 1.677980 54.89  2*17.5651 13.1700   3 174.6872 2.0000 1.882023 37.22  4* 32.3261 10.9488  5 −40.1458 1.7000 1.433848 95.23  6 63.0439 0.2488  7 49.0293 5.30841.953750 32.33  8 −272.4542 d8   9 0.0000 d9  10 52.7250 3.4795 1.85000027.03 11 905.8749 0.2000 12 63.2104 1.1000 1.963000 24.11 13 19.51015.0000 1.647690 33.72 14 −605.1149 d14 15 131.6961 1.1000 1.903660 31.2716 41.1798 4.8000 1.516800 64.13 17 −33.5987 1.5000 18 0.0000 d18Aperture stop S 19 −33.4463 1.1000 1.953750 32.33 20 28.7483 3.70001.808090 22.74 21 −4455.8379 0.2000 22 56.8591 2.3000 1.963000 24.11 231989.0932 1.5000 24 0.0000 d24 25 27.9660 8.7000 1.497820 82.57 26−21.3402 1.2000 1.883000 40.66 27 −29.4982 0.2000 28 833.0842 1.20001.834000 37.18 29 21.2365 6.7000 1.497820 82.57 30 −131.0269 1.80001.860999 37.10 31* −81.9522 d31 32 0.0000 35.2000  33 0.0000 2.00001.516800 64.13 34 0.0000 1.3049 Image plane ∞ [Focal length of lensgroups] Lens group First surface Focal length First lens group 1 −20.675Second lens group 10 64.283 Third lens group 15 77.240 Fourth lens group19 −64.451 Fifth lens group 25 46.308

In the magnification-variable optical system ZL4, the first surface, thesecond surface, the fourth surface, and the thirty-first surface haveaspheric lens surfaces. Table 14 below shows the surface number m anddata of the aspheric surfaces, in other words, the values of the conicalconstant K and the aspheric constants A4 to A12.

TABLE 14 [Data on aspherical surface] First surface K = 1.0000 A4 =9.81343E−06 A6 = −2.00352E−08 A8 = 2.68089E−11 A10 = −1.91082E−14 A12 =6.61500E−18 A14 = 0.00000E+00 Second surface K = 0.0000 A4 = 9.32337E−06A6 = 3.93185E−11 A8 = −4.76302E−11 A10 = −1.21872E−13 A12 = 2.94780E−16A14 = 0.00000E+00 Fourth surface K = 2.0000 A4 = 1.36041E−05 A6 =4.77634E−09 A8 = 6.06428E−11 A10 = 4.61232E−13 A12 = −1.15710E−15 A14 =0.00000E+00 Thirty-first surface K = 1.0000 A4 = 1.19337E−05 A6 =1.13335E−08 A8 = 1.45175E−10 A10 = −5.29199E−13 A12 = 1.81530E−15 A14 =0.00000E+00

In the magnification-variable optical system ZL4, the on-axis air spacesd8 and d9 between the first lens group G1 and the second lens group G2,the on-axis air space d14 between the second lens group G2 and the thirdlens group G3, the on-axis air space d18 between the third lens group G3and the fourth lens group G4, the on-axis air space d24 between thefourth lens group G4 and the fifth lens group G5, and the on-axis airspace d31 between the fifth lens group G5 and the filter FL change atmagnification change and focusing. Table 15 below shows the values ofvariable distances at focal lengths in the wide-angle state, theintermediate focal-length state, and the telescopic state at each offocusing on an object at infinity, focusing on an object at a closedistance, and focusing on an object at the closest distance.

TABLE 15 [Variable distance data] Wide-angle Intermediate focal-Telescopic state length state state -Focusing on an object at infinity-f 14.400 18.000 20.000 23.300 d0 ∞ ∞ ∞ ∞ d8 22.4312 11.5043 7.09711.5000 d9 0.0000 0.0000 0.0000 0.0000 d14 6.4000 9.7974 10.2841 9.7673d18 3.1355 4.8832 5.7872 6.9523 d24 6.8852 2.2657 1.0000 0.0000 d310.5000 6.3273 9.7040 15.5208 -Focusing on an object at a close distance-β −0.025 −0.025 −0.025 −0.025 d0 543.9177 689.0584 769.5276 902.1634 d822.4312 11.5043 7.0971 1.5000 d9 0.7514 0.5958 0.5433 0.4811 d14 5.64869.2017 9.7408 9.2862 d18 3.1355 4.8832 5.7872 6.9523 d24 6.8852 2.26571.0000 0.0000 d31 0.5000 6.3273 9.7040 15.5208 -Focusing on an object atthe closest distance- β −0.103 −0.126 −0.139 −0.163 d0 114.0413 118.5550119.4285 119.5597 d8 22.4312 11.5043 7.0971 1.5000 d9 2.9730 2.86282.8851 2.9744 d14 3.4270 6.9346 7.3990 6.7929 d18 3.1355 4.8832 5.78726.9523 d24 6.8852 2.2657 1.0000 0.0000 d31 0.5000 6.3273 9.7040 15.5208

Table 16 below shows values compliant to the condition expressions inthe magnification-variable optical system ZL4. In themagnification-variable optical system ZL4, the specific negative lens isthe biconcave negative lens L13, and the specific lens is each of thebiconvex positive lens L51 and the biconvex positive lens L54.

TABLE 16 Σν1n = 187.34 Σ (ν1n × f1n) = −8838.345 STLw = 82.487 fL1 =−32.727 fL2 = −45.270 [Values compliant to conditional expressions] (1)ν1n = 95.23 (2) nL2/nL1 = 1.122 (3) N1n = 3 (4) 2ωw = 114.734° (5) nL1 =1.678 (6) fw × (−f1)/Fnow = 102.308 mm² (7) (L1r2 + L1r1)/(L1r2 − L1r1)= −1.483 (8) (Σν1n)/N1n = 62.447 (9) (Σ (ν1n × f1n))/(N1n × f1) =142.498 (10) Bfw/fw = 2.644 (11) STLw/TLw = 0.518 (12) (−f1)/fw = 1.436(13) (−f1)/ft = 0.887 (14) fL1/f1 = 1.583 (15) fL2/f1 = 2.190 (16)TLw/Bfw = 4.181 (17) (L2r2 + L2r1)/(L2r2 − L2r1) = −1.454 (18) (L3r2 +L3r1)/(L3r2 − L3r1) = 0.222 (19) νr = 82.57 (20) Fnow = 2.91 (21) Fnot =2.91

As described above, the magnification-variable optical system ZL4satisfies all Conditional Expressions (1) to (21) described above.

FIG. 8 shows a variety of aberration diagrams of themagnification-variable optical system ZL4 in the wide-angle state andthe telescopic state at focusing on an object at infinity. The varietyof aberration diagrams show that the magnification-variable opticalsystem ZL4 allows favorable correction of the variety of aberrationsfrom the wide-angle state to the telescopic state and provides excellentimaging performance.

Fifth Example

FIG. 9 shows a configuration of a magnification-variable optical systemZL5 according to the fifth example. The magnification-variable opticalsystem ZL5 includes, sequentially from the object side, a first lensgroup G1 having negative refractive power and a rear group GR havingpositive refractive power. The rear group GR includes, sequentially fromthe object side, a second lens group G2 having positive refractivepower, a third lens group G3 having positive refractive power, a fourthlens group G4 having negative refractive power, and a fifth lens groupG5 having positive refractive power.

In the magnification-variable optical system ZL5, the first lens groupG1 includes, sequentially from the object side, an aspheric negativelens L11 having an aspheric lens surface on the object side and anaspheric lens surface on the image side and shaped in a negativemeniscus lens having a convex surface facing the object side, anaspheric negative lens L12 having an aspheric lens surface on the imageside and shaped in a negative meniscus lens having a convex surfacefacing the object side, a biconcave negative lens L13, and a biconvexpositive lens L14. The second lens group G2 includes, sequentially fromthe object side, a positive meniscus lens L21 having a convex surfacefacing the object side, and a cemented lens formed by cementing anegative meniscus lens L22 having a convex surface facing the objectside and a biconvex positive lens L23 to each other. The third lensgroup G3 is formed of a cemented lens formed by cementing a negativemeniscus lens L31 having a convex surface facing the object side and abiconvex positive lens L32 to each other sequentially from the objectside. The fourth lens group G4 includes, sequentially from the objectside, a cemented lens formed by cementing a biconcave negative lens L41and a biconvex positive lens L42 to each other, and a positive meniscuslens L43 having a convex surface facing the object side. The fifth lensgroup G5 includes, sequentially from the object side, a cemented lensformed by cementing a biconvex positive lens L51 and a negative meniscuslens L52 having a concave surface facing the object side to each other,and a cemented lens formed by cementing a plano-concave negative lensL53 having a flat surface facing the object side, a biconvex positivelens L54, and an aspheric positive lens L55 having an aspheric lenssurface on the image side and shaped in a positive meniscus lens havinga concave surface facing the object side to each other. A filter FL isdisposed between the fifth lens group G5 and an image plane I.

In the magnification-variable optical system ZL5, at magnificationchange from the wide-angle state to the telescopic state, the first lensgroup G1 moves to the image side and the second lens group G2, the thirdlens group G3, the fourth lens group G4, and the fifth lens group G5move to the object side so that the distance between the first lensgroup G1 and the second lens group G2 decreases, the distance betweenthe second lens group G2 and the third lens group G3 changes, thedistance between the third lens group G3 and the fourth lens group G4increases, the distance between the fourth lens group G4 and the fifthlens group G5 decreases, and the distance (back focus) between the fifthlens group G5 and the image plane I increases. An aperture stop S isdisposed between the third lens group G3 and the fourth lens group G4and moves together with the third lens group G3 at magnification change.

The magnification-variable optical system ZL5 performs focusing uponfrom an infinite distance object to a close distance object by movingthe second lens group G2 to the image side.

Table 17 below shows the values of specifications of themagnification-variable optical system ZL5.

In Table 17, the eighteenth surface corresponds to the aperture stop S,and the ninth surface, the twenty-fourth surface, and the thirty-secondsurface correspond to virtual surfaces. An auxiliary aperture may bedisposed at the twenty-fourth surface.

In a case in which a filter is disposed on the object side in themagnification-variable optical system ZL5, the filter is disposed at aposition separated by 6.10 mm on the object side from the first surface.

TABLE 17 Fifth example [Overall specifications] Wide-angle Intermediatefocal- Telescopic state length state state f = 14.398 to 17.997 to19.996 to 23.295 FNO = 2.91 to 2.91 to 2.91 to 2.91 2ω (°) = 114.745 to100.443 to 93.827 to 84.532 Ymax = 21.600 to 21.600 to 21.600 to 21.600TL (air 160.086 to 155.358 to 154.117 to 153.530 equivalent length) = Bf(air 38.011 to 43.671 to 47.032 to 52.761 equivalent length) = [Lensdata] m r d nd νd Object plane ∞  1* 142.8958 3.1000 1.622910 58.30  2*17.5350 13.2834   3 132.6436 2.0000 1.882023 37.22  4* 33.1818 10.8088  5 −41.0334 1.7000 1.433848 95.23  6 46.0617 0.7860  7 44.4748 5.73771.902650 35.72  8 −235.5192 d8   9 0.0000 d9  10 42.7013 2.6873 1.80518025.45 11 522.0903 0.2000 12 83.2170 1.1000 1.963000 24.11 13 19.34675.0000 1.647690 33.72 14 −399.2039 d14 15 102.8869 1.1000 1.903660 31.2716 40.4334 5.0000 1.516800 64.13 17 −34.8882 1.5000 18 0.0000 d18Aperture stop S 19 −34.1551 1.1000 1.953750 32.33 20 27.1687 3.70001.808090 22.74 21 −8566.3566 0.2000 22 56.2695 2.3000 1.963000 24.11 23605.9610 1.5000 24 0.0000 d24 25 27.0443 8.6000 1.497820 82.57 26−21.2587 1.2000 1.834810 42.73 27 −29.8675 0.2000 28 0.0000 1.20001.834000 37.18 29 21.0339 6.7000 1.497820 82.57 30 −117.6080 1.80001.860999 37.10 31* −78.0322 d31 32 0.0000 35.2000  33 0.0000 2.00001.516800 64.13 34 0.0000 0.9924 Image plane ∞ [Focal length of lensgroups] Lens group First surface Focal length First lens group 1 −21.334Second lens group 10 68.859 Third lens group 15 71.237 Fourth lens group19 −61.116 Fifth lens group 25 46.502

In the magnification-variable optical system ZL5, the first surface, thesecond surface, the fourth surface, and the thirty-first surface haveaspheric lens surfaces. Table 18 below shows the surface number m anddata of the aspheric surfaces, in other words, the values of the conicalconstant K and the aspheric constants A4 to A12.

TABLE 18 [Data on aspherical surface] First surface K = 1.0000 A4 =1.15893E−05 A6 = −1.92423E−08 A8 = 2.17289E−11 A10 = −1.31603E−14 A12 =3.82590E−18 A14 = 0.00000E+00 Second surface K = 0.0000 A4 = 8.59688E−06A6 = 1.24322E−08 A8 = −2.07525E−11 A10 = −2.35847E−13 A12 = 3.68790E−16A14 = 0.00000E+00 Fourth surface K = 2.0000 A4 = 1.30779E−05 A6 =−3.01480E−10 A8 = 4.09540E−11 A10 = 4.27730E−13 A12 = −7.83650E−16 A14 =0.00000E+00 Thirty-first surface K = 1.0000 A4 = 1.23681E−05 A6 =1.27283E−08 A8 = 1.60295E−10 A10 = −6.40573E−13 A12 = 2.30490E−15 A14 =0.00000E+00

In the magnification-variable optical system ZL5, the on-axis air spacesd8 and d9 between the first lens group G1 and the second lens group G2,the on-axis air space d14 between the second lens group G2 and the thirdlens group G3, the on-axis air space d18 between the third lens group G3and the fourth lens group G4, the on-axis air space d24 between thefourth lens group G4 and the fifth lens group G5, and the on-axis airspace d31 between the fifth lens group G5 and the filter FL change atmagnification change and focusing. Table 19 below shows the values ofvariable distances at focal lengths in the wide-angle state, theintermediate focal-length state, and the telescopic state at each offocusing on an object at infinity, focusing on an object at a closedistance, and focusing on an object at the closest distance.

TABLE 19 [Variable distance data] Wide-angle Intermediate focal-Telescopic state length state state -Focusing on an object at infinity-f 14.398 17.997 19.996 23.295 d0 ∞ ∞ ∞ ∞ d8 23.4594 12.0282 7.37951.5000 d9 0.0000 0.0000 0.0000 0.0000 d14 5.9621 10.0114 10.4817 10.0986d18 3.2198 4.9501 5.7201 6.6670 d24 6.9306 2.1947 1.0000 0.0000 d310.5000 6.1010 9.5647 15.3030 -Focusing on an object at a close distance-β −0.025 −0.025 −0.025 −0.025 d0 543.8708 688.9750 769.4422 902.0778 d823.4594 12.0282 7.3795 1.5000 d9 0.7957 0.6366 0.5823 0.5176 d14 5.16659.3748 9.8994 9.5810 d18 3.2198 4.9501 5.7201 6.6670 d24 6.9306 2.19471.0000 0.0000 d31 0.5000 6.1010 9.5647 15.3030 -Focusing on an object atthe closest distance- β −0.104 −0.126 −0.140 −0.163 d0 113.1249 117.8508119.0910 119.6750 d8 23.4594 12.0282 7.3795 1.5000 d9 3.1636 3.06913.0949 3.1924 d14 2.7985 6.9423 7.3868 6.9061 d18 3.2198 4.9501 5.72016.6670 d24 6.9306 2.1947 1.0000 0.0000 d31 0.5000 6.1010 9.5647 15.3030

Table 20 below shows values compliant to the condition expressions inthe magnification-variable optical system ZL5. In themagnification-variable optical system ZL5, the specific negative lens isthe biconcave negative lens L13, and the specific lens is each of thebiconvex positive lens L51 and the biconvex positive lens L54.

TABLE 20 Σν1n = 190.75 Σ (ν1n × f1n) = −8509.219 STLw = 83.425 fL1 =−32.395 fL2 = −50.648 [Values compliant to conditional expressions] (1)ν1n = 95.23 (2) nL2/nL1 = 1.160 (3) N1n = 3 (4) 2ωw = 114.745° (5) nL1 =1.623 (6) fw × (−f1)/Fnow = 105.570 mm² (7) (L1r2 + L1r1)/(L1r2 − L1r1)= −1.280 (8) (Σν1n)/N1n = 63.583 (9) (Σ (ν1n × f1n))/(N1n × f1) =132.952 (10) Bfw/fw = 2.640 (11) STLw/TLw = 0.521 (12) (−f1)/fw = 1.482(13) (−f1)/ft = 0.916 (14) fL1/f1 = 1.518 (15) fL2/f1 = 2.374 (16)TLw/Bfw = 4.212 (17) (L2r2 + L2r1)/(L2r2 − L2r1) = −1.667 (18) (L3r2 +L3r1)/(L3r2 − L3r1) = 0.058 (19) νr = 82.57 (20) Fnow = 2.91 (21) Fnot =2.91

As described above, the magnification-variable optical system ZL5satisfies all Conditional Expressions (1) to (21) described above.

FIG. 10 shows a variety of aberration diagrams of themagnification-variable optical system ZL5 in the wide-angle state andthe telescopic state at focusing on an object at infinity. The varietyof aberration diagrams show that the magnification-variable opticalsystem ZL5 allows favorable correction of the variety of aberrationsfrom the wide-angle state to the telescopic state and provides excellentimaging performance.

Sixth Example

FIG. 11 shows a configuration of a magnification-variable optical systemZL6 according to the sixth example. The magnification-variable opticalsystem ZL6 includes, sequentially from the object side, a first lensgroup G1 having negative refractive power and a rear group GR havingpositive refractive power. The rear group GR includes, sequentially fromthe object side, a second lens group G2 having positive refractivepower, a third lens group G3 having positive refractive power, a fourthlens group G4 having negative refractive power, and a fifth lens groupG5 having positive refractive power.

In the magnification-variable optical system ZL6, the first lens groupG1 includes, sequentially from the object side, an aspheric negativelens L11 having an aspheric lens surface on the object side and anaspheric lens surface on the image side and shaped in a negativemeniscus lens having a convex surface facing the object side, anaspheric negative lens L12 having an aspheric lens surface on the imageside and shaped in a negative meniscus lens having a convex surfacefacing the object side, a biconcave negative lens L13, and aplano-convex positive lens L14 having a convex surface facing the objectside. The second lens group G2 is formed of a cemented lens formed bycementing a negative meniscus lens L21 having a convex surface facingthe object side and a biconvex positive lens L22 to each othersequentially from the object side. The third lens group G3 is formed ofa cemented lens formed by cementing a negative meniscus lens L31 havinga convex surface facing the object side and a biconvex positive lens L32to each other sequentially from the object side. The fourth lens groupG4 includes, sequentially from the object side, negative meniscus lensL41 having a concave surface facing the object side, and a cemented lensformed by cementing a biconcave negative lens L42 and a biconvexpositive lens L43 to each other. The fifth lens group G5 includes,sequentially from the object side, a cemented lens formed by cementing abiconvex positive lens L51 and a negative meniscus lens L52 having aconcave surface facing the object side to each other, a cemented lensformed by cementing a negative meniscus lens L53 having a convex surfacefacing the object side and a biconvex positive lens L54 to each other,and an aspheric negative lens L55 having an aspheric lens surface on theimage side and shaped in a negative meniscus lens having a concavesurface facing the object side. A filter FL is disposed between thefifth lens group G5 and an image plane I.

In the magnification-variable optical system ZL6, at magnificationchange from the wide-angle state to the telescopic state, the first lensgroup G1 moves to the image side and the second lens group G2, the thirdlens group G3, the fourth lens group G4, and the fifth lens group G5move to the object side so that the distance between the first lensgroup G1 and the second lens group G2 decreases, the distance betweenthe second lens group G2 and the third lens group G3 changes, thedistance between the third lens group G3 and the fourth lens group G4increases, the distance between the fourth lens group G4 and the fifthlens group G5 decreases, and the distance (back focus) between the fifthlens group G5 and the image plane I increases. An aperture stop S isdisposed between the third lens group G3 and the fourth lens group G4and moves together with the fourth lens group G4 at magnificationchange.

The magnification-variable optical system ZL6 performs focusing uponfrom an infinite distance object to a close distance object by movingthe second lens group G2 to the image side.

Table 21 below shows the values of specifications of themagnification-variable optical system ZL6.

In Table 21, the sixteenth surface corresponds to the aperture stop S,and the ninth surface, the twenty-second surface, and the thirty-firstsurface correspond to virtual surfaces. An auxiliary aperture may bedisposed at the twenty-second surface.

In a case in which a filter is disposed on the object side in themagnification-variable optical system ZL6, the filter is disposed at aposition separated by 6.10 mm on the object side from the first surface.

TABLE 21 Sixth example [Overall specifications] Wide-angle Intermediatefocal- Telescopic state length state state f = 14.400 to 18.000 to20.000 to 23.300 FNO = 2.91 to 2.91 to 2.91 to 2.91 2ω (°) = 114.742 to100.593 to 93.838 to 84.517 Ymax = 21.600 to 21.600 to 21.600 to 21.600TL (air 155.513 to 152.665 to 152.329 to 152.315 equivalent length) = Bf(air 38.123 to 43.258 to 46.065 to 51.259 equivalent length) = [Lensdata] m r d nd νd Object plane ∞  1* 201.4901 3.1000 1.516800 64.13  2*15.2473 15.4015   3 603.8279 2.0000 1.795256 45.25  4* 42.2007 8.2350  5−63.7303 1.7000 1.497820 82.57  6 37.4616 0.2008  7 34.7568 5.67081.883000 40.66  8 0.0000 d8   9 0.0000 d9  10 44.7965 1.1000 1.96300024.11 11 20.5527 4.6000 1.698950 30.13 12 −190.9319 d12 13 49.05581.1000 1.963000 24.11 14 29.9609 5.8000 1.516800 64.13 15 −38.9734 d1516 0.0000 2.7000 Aperture stop S 17 −51.6576 1.1000 1.883000 40.66 18−116.3501 1.3131 19 −38.6822 1.1000 1.883000 40.66 20 25.7541 3.90001.963000 24.11 21 −180.3900 1.2000 22 0.0000 d22 23 31.7152 8.60001.497820 82.57 24 −21.9588 1.2000 1.834810 42.73 25 −35.9397 0.2000 2664.5388 1.2000 1.902650 35.72 27 23.4943 10.0000  1.497820 82.57 28−24.5354 0.2000 29 −29.0690 1.2000 1.860999 37.10 30* −47.9865 d30 310.0000 35.2000  32 0.0000 2.0000 1.516800 64.13 33 0.0000 1.0502 Imageplane ∞ [Focal length of lens groups] Lens group First surface Focallength First lens group 1 −21.025 Second lens group 10 81.077 Third lensgroup 13 56.282 Fourth lens group 17 −42.270 Fifth lens group 23 37.527

In the magnification-variable optical system ZL6, the first surface, thesecond surface, the fourth surface, and the thirtieth surface haveaspheric lens surfaces. Table 22 below shows the surface number m anddata of the aspheric surfaces, in other words, the values of the conicalconstant K and the aspheric constants A4 to A12.

TABLE 22 [Data on aspherical surface] First surface K = 1.0000 A4 =5.05392E−06 A6 = −4.62096E−09 A8 = 4.79306E−12 A10 = −2.73669E−15 A12 =8.66720E−19 A14 = 0.00000E+00 Second surface K = 0.0000 A4 = 3.76598E−06A6 = 8.88285E−09 A8 = −7.50984E−12 A10 = −1.78288E−14 A12 = −8.37710E−17A14 = 0.00000E+00 Fourth surface K = 2.0000 A4 = 1.41674E−05 A6 =2.34561E−09 A8 = 1.37528E−10 A10 = −4.20057E−13 A12 = 1.08030E−15 A14 =0.00000E+00 Thirtieth surface K = 1.0000 A4 = 9.98516E−06 A6 =4.68513E−09 A8 = 1.00957E−10 A10 = −3.98485E−13 A12 = 9.87550E−16 A14 =0.00000E+00

In the magnification-variable optical system ZL6, the on-axis air spacesd8 and d9 between the first lens group G1 and the second lens group G2,an on-axis air space d12 between the second lens group G2 and the thirdlens group G3, an on-axis air space d15 between the third lens group G3and the fourth lens group G4, an on-axis air space d22 between thefourth lens group G4 and the fifth lens group G5, and an on-axis airspace d30 between the fifth lens group G5 and the filter FL change atmagnification change and focusing. Table 23 below shows the values ofvariable distances at focal lengths in the wide-angle state, theintermediate focal-length state, and the telescopic state at each offocusing on an object at infinity, focusing on an object at a closedistance, and focusing on an object at the closest distance.

TABLE 23 [Variable distance data] Wide-angle Intermediate focal-Telescopic state length state state -Focusing on an object at infinity-f 14.400 18.000 20.000 23.300 d0 ∞ ∞ ∞ ∞ d8 20.6874 10.5726 6.58311.5000 d9 0.0000 0.0000 0.0000 0.0000 d12 6.6363 9.9733 10.6667 10.4559d15 1.5000 3.6282 4.9450 6.2785 d22 5.7449 2.4116 1.2488 0.0000 d300.5000 5.5629 8.4375 13.6950 -Focusing on an object at a close distance-β −0.025 −0.025 −0.025 −0.025 d0 544.5834 689.3773 769.7371 902.2544 d820.6874 10.5726 6.5831 1.5000 d9 0.7871 0.6675 0.6213 0.5623 d12 5.84939.3059 10.0454 9.8936 d15 1.5000 3.6282 4.9450 6.2785 d22 5.7449 2.41161.2488 0.0000 d30 0.5000 5.5629 8.4375 13.6950 -Focusing on an object atthe closest distance- β −0.101 −0.124 −0.138 −0.162 d0 117.7057 120.5537120.8893 120.9039 d8 20.6874 10.5726 6.5831 1.5000 d9 3.0261 3.14853.2479 3.4206 d12 3.6103 6.8249 7.4188 7.0353 d15 1.5000 3.6282 4.94506.2785 d22 5.7449 2.4116 1.2488 0.0000 d30 0.5000 5.5629 8.4375 13.6950

Table 24 below shows values compliant to the condition expressions inthe magnification-variable optical system ZL6. In themagnification-variable optical system ZL6, the specific negative lens isthe biconcave negative lens L13, and the specific lens is each of thebiconvex positive lens L51 and the biconvex positive lens L54.

TABLE 24 Σν1n = 191. 95 Σ (ν1n × f1n) = −8535.853 STLw = 77.732 fL1 =−32.101 fL2 = −57.143 [Values compliant to conditional expressions] (1)ν1n = 82.57 (2) nL2/nL1 = 1.184 (3) N1n = 3 (4) 2ωw = 114.742° (5) nL1 =1.517 (6) fw × (−f1)/Fnow = 104.042 mm² (7) (L1r2 + L1r1)/(L1r2 − L1r1)= −1.164 (8) (Σν1n)/N1n = 63.983 (9) (Σ (ν1n × f1n))/(N1n × f1) =135.328 (10) Bfw/fw = 2.647 (11) STLw/TLw = 0.500 (12) (−f1)/fw = 1.460(13) (−f1)/ft = 0.902 (14) fL1/f1 = 1.527 (15) fL2/f1 = 2.718 (16)TLw/Bfw = 4.079 (17) (L2r2 + L2r1)/(L2r2 − L2r1) = −1.150 (18) (L3r2 +L3r1)/(L3r2 − L3r1) = −0.260 (19) νr = 82.57 (20) Fnow = 2.91 (21) Fnot=2.91

As described above, the magnification-variable optical system ZL6satisfies all Conditional Expressions (1) to (21) described above.

FIG. 12 shows a variety of aberration diagrams of themagnification-variable optical system ZL6 in the wide-angle state andthe telescopic state at focusing on an object at infinity. The varietyof aberration diagrams show that the magnification-variable opticalsystem ZL6 allows favorable correction of the variety of aberrationsfrom the wide-angle state to the telescopic state and provides excellentimaging performance.

Seventh Example

FIG. 13 shows a configuration of a magnification-variable optical systemZL7 according to the seventh example. The magnification-variable opticalsystem ZL7 includes, sequentially from the object side, a first lensgroup G1 having negative refractive power and a rear group GR havingpositive refractive power. The rear group GR includes, sequentially fromthe object side, a second lens group G2 having positive refractivepower, a third lens group G3 having positive refractive power, a fourthlens group G4 having negative refractive power, and a fifth lens groupG5 having positive refractive power.

In the magnification-variable optical system ZL7, the first lens groupG1 includes, sequentially from the object side, an aspheric negativelens L11 having an aspheric lens surface on the object side and anaspheric lens surface on the image side and shaped in a negativemeniscus lens having a convex surface facing the object side, anaspheric negative lens L12 having an aspheric lens surface on the imageside and shaped in a negative meniscus lens having a convex surfacefacing the object side, a biconcave negative lens L13, and a biconvexpositive lens L14. The second lens group G2 includes, sequentially fromthe object side, a cemented lens formed by cementing a negative meniscuslens L21 having a convex surface facing the object side and a biconvexpositive lens L22 to each other, and a negative meniscus lens L23 havinga concave surface facing the object side. The third lens group G3 isformed of a cemented lens formed by cementing a negative meniscus lensL31 having a convex surface facing the object side and a biconvexpositive lens L32 to each other sequentially from the object side. Thefourth lens group G4 is formed of a cemented lens formed by cementing abiconcave negative lens L41 and a biconvex positive lens L42 to eachother sequentially from the object side. The fifth lens group G5includes, sequentially from the object side, a cemented lens formed bycementing a negative meniscus lens L51 having a convex surface facingthe object side and a biconvex positive lens L52 to each other, and acemented lens formed by cementing a negative meniscus lens L53 having aconvex surface facing the object side, a biconvex positive lens L54, andan aspheric negative lens L55 having an aspheric lens surface on theimage side and shaped in a negative meniscus lens having a concavesurface facing the object side to each other. A filter FL is disposedbetween the fifth lens group G5 and an image plane I.

In the magnification-variable optical system ZL7, at magnificationchange from the wide-angle state to the telescopic state, the first lensgroup G1 moves to the image side and the second lens group G2, the thirdlens group G3, the fourth lens group G4, and the fifth lens group G5move to the object side so that the distance between the first lensgroup G1 and the second lens group G2 decreases, the distance betweenthe third lens group G3 and the fourth lens group G4 increases, thedistance between the fourth lens group G4 and the fifth lens group G5decreases, and the distance (back focus) between the fifth lens group G5and the image plane I increases. The second lens group G2 and the thirdlens group G3 integrally move at magnification change. An aperture stopS is disposed between the third lens group G3 and the fourth lens groupG4 and moves together with the fourth lens group G4 at magnificationchange.

The magnification-variable optical system ZL7 performs focusing uponfrom an infinite distance object to a close distance object by movingthe second lens group G2 to the image side.

Table 25 below shows the values of specifications of themagnification-variable optical system ZL7.

In Table 25, the eighteenth surface corresponds to the aperture stop S,and the ninth surface, the twenty-second surface, and the thirtiethsurface correspond to virtual surfaces. An auxiliary aperture may bedisposed at the twenty-second surface.

In a case in which a filter is disposed on the object side in themagnification-variable optical system ZL7, the filter is disposed at aposition separated by 6.10 mm on the object side from the first surface.

TABLE 25 Seventh example [Overall specifications] Wide-angleIntermediate focal- Telescopic state length state state f = 14.400 to18.000 to 20.000 to 23.300 FNO = 2.91 to 2.91 to 2.91 to 2.91 2ω (°) =114.733 to 100.450 to 93.835 to 84.548 Ymax = 21.600 to 21.600 to 21.600to 21.600 TL (air 162.664 to 155.206 to 153.078 to 151.580 equivalentlength) = Bf (air 38.030 to 42.928 to 45.480 to 49.783 equivalentlength) = [Lens data] m r d nd νd Object plane ∞  1* 115.7220 3.10001.622910 58.30  2* 16.6323 14.8987   3 370.8034 2.0000 1.882023 37.22 4* 41.1683 9.2575  5 −46.1330 1.6000 1.497820 82.57  6 80.3534 3.1175 7 55.6397 6.7000 1.637964 38.48  8 −73.0750 d8   9 0.0000 d9  1040.8572 1.1000 1.953721 32.33 11 23.4797 6.2000 1.662956 32.26 12−46.4852 1.4528 13 −42.2265 1.1000 1.953745 32.33 14 −128.2484 d14 1538.1116 1.1000 1.963000 24.11 16 23.4511 6.5000 1.520273 68.04 17−55.7009 d17 18 0.0000 3.8271 Aperture stop S 19 −56.4383 1.10001.919778 33.15 20 23.9956 4.2000 1.808090 22.74 21 −281.4369 22 0.0000d22 23 26.3769 1.2000 1.615813 50.88 24 19.6278 7.5000 1.497820 82.57 25−40.0111 0.2000 26 439.2276 1.2000 1.756739 39.10 27 20.1301 7.80001.497820 82.57 28 −66.7106 1.2000 1.882023 37.22 29* −87.9719 d29 300.0000 35.2000  31 0.0000 2.0000 1.516800 64.13 32 0.0000 1.2022 Imageplane ∞ [Focal length of lens groups] Lens group First surface Focallength First lens group 1 −22.762 Second lens group 10 92.534 Third lensgroup 15 64.107 Fourth lens group 19 −55.689 Fifth lens group 23 45.190

In the magnification-variable optical system ZL7, the first surface, thesecond surface, the fourth surface, and the twenty-ninth surface haveaspheric lens surfaces. Table 26 below shows the surface number m anddata of the aspheric surfaces, in other words, the values of the conicalconstant K and the aspheric constants A4 to A12.

TABLE 26 [Data on aspherical surface] First surface K = 1.0000 A4 =4.80598E−06 A6 = −2.42564E−09 A8 = 1.78291E−12 A10 = −1.05251E−15 A12 =6.26000E−19 A14 = 0.00000E+00 Second surface K = 0.0000 A4 = 3.68669E−06A6 = 1.22584E−08 A8 = 6.05239E−12 A10 = 2.50928E−14 A12 = −1.70140E−16A14 = 0.00000E+00 Fourth surface K = 1.0000 A4 = 1.44539E−05 A6 =−5.00574E−10 A8 = 5.52057E−11 A10 = −5.98876E−14 A12 = 3.04350E−16 A14 =0.00000E+00 Twenty-ninth K = 1.0000 surface A4 = 1.07870E−05 A6 =7.32487E−09 A8 = 1.83159E−10 A10 = −9.56431E−13 A12 = 3.09390E−15 A14 =0.00000E+00

In the magnification-variable optical system ZL7, the on-axis air spacesd8 and d9 between the first lens group G1 and the second lens group G2,on-axis air space d14 between the second lens group G2 and the thirdlens group G3, on-axis air space d17 between the third lens group G3 andthe fourth lens group G4, the on-axis air space d22 between the fourthlens group G4 and the fifth lens group G5, and an on-axis air space d29between the fifth lens group G5 and the filter FL change atmagnification change and focusing. Table 27 below shows the values ofvariable distances at focal lengths in the wide-angle state, theintermediate focal-length state, and the telescopic state at each offocusing on an object at infinity, focusing on an object at a closedistance, and focusing on an object at the closest distance.

TABLE 27 [Variable distance data] Wide-angle Intermediate focal-Telescopic state length state state -Focusing on an object at infinity-f 14.400 18.000 20.000 23.300 d0 ∞ ∞ ∞ ∞ d8 24.3283 11.9508 7.27941.5000 d9 0.0000 0.0000 0.0000 0.0000 d14 5.4427 5.4427 5.4427 5.4427d17 1.5000 3.8035 5.2139 7.3002 d22 5.8094 3.5281 2.1089 0.0000 d290.5000 5.2980 7.9112 12.2190 -Focusing on an object at a close distance-β −0.025 −0.025 −0.025 −0.025 d0 544.5834 689.3773 770.0044 902.4751 d824.3283 11.9508 7.2794 1.5000 d9 0.9072 0.7587 0.7018 0.6289 d14 4.53554.6840 4.7409 4.8138 d17 1.5000 3.8035 5.2139 7.3002 d22 5.8094 3.52812.1089 0.0000 d29 0.5000 5.2980 7.9112 12.2190 -Focusing on an object atthe closest distance- β −0.106 −0.127 −0.139 −0.161 d0 110.5549 118.0123120.1404 121.6387 d8 24.3283 11.9508 7.2794 1.5000 d9 3.6767 3.65403.7024 3.8252 d14 1.7660 1.7887 1.7403 1.6175 d17 1.5000 3.8035 5.21397.3002 d22 5.8094 3.5281 2.1089 0.0000 d29 0.5000 5.2980 7.9112 12.2190

Table 28 below shows values compliant to the condition expressions inthe magnification-variable optical system ZL7. In themagnification-variable optical system ZL7, the specific negative lens isthe biconcave negative lens L13, and the specific lens is each of thebiconvex positive lens L51 and the biconvex positive lens L54.

TABLE 28 Σν1n = 178.09 Σ (ν1n × f1n) = −8640.434 STLw = 83.398 fL1 =−31.562 fL2 = −52.654 [Values compliant to conditional expressions] (1)ν1n = 82.57 (2) nL2/nL1 = 1.160 (3) N1n = 3 (4) 2ωw = 114.733° (5) nL1 =1.623 (6) fw × (−f1)/Fnow = 112.637 mm² (7) (L1r2 + L1r1)/(L1r2 − L1r1)= −1.336 (8) (Σν1n)/N1n = 59.363 (9) (Σ (ν1n × f1n))/(N1n × f1) =126.533 (10) Bfw/fw = 2.641 (11) STLw/TLw = 0.550 (12) (−f1)/fw = 1.581(13) (−f1)/ft = 0.977 (14) fL1/f1 = 1.387 (15) fL2/f1 = 2.313 (16)TLw/Bfw = 4.277 (17) (L2r2 + L2r1)/(L2r2 − L2r1) = −1.250 (18) (L3r2 +L3r1)/(L3r2 − L3r1) = 0.271 (19) νr = 82.57 (20) Fnow = 2.91 (21) Fnot =2.91

As described above, the magnification-variable optical system ZL7satisfies all Conditional Expressions (1) to (21) described above.

FIG. 14 shows a variety of aberration diagrams of themagnification-variable optical system ZL7 in the wide-angle state andthe telescopic state at focusing on an object at infinity. The varietyof aberration diagrams show that the magnification-variable opticalsystem ZL7 allows favorable correction of the variety of aberrationsfrom the wide-angle state to the telescopic state and provides excellentimaging performance.

Eighth Example

FIG. 15 shows a configuration of a magnification-variable optical systemZL8 according to the eighth example. The magnification-variable opticalsystem ZL8 includes, sequentially from the object side, a first lensgroup G1 having negative refractive power and a rear group GR havingpositive refractive power. The rear group GR includes, sequentially fromthe object side, the second lens group G2 having positive refractivepower and the third lens group G3 having positive refractive power.

In the magnification-variable optical system ZL8, the first lens groupG1 includes, sequentially from the object side, an aspheric negativelens L11 having an aspheric lens surface on the object side and anaspheric lens surface on the image side and shaped in a negativemeniscus lens having a convex surface facing the object side, anaspheric negative lens L12 having an aspheric lens surface on the imageside and shaped in a negative meniscus lens having a convex surfacefacing the object side, a biconcave negative lens L13, and a biconvexpositive lens L14. The second lens group G2 is formed of a cemented lensformed by cementing negative meniscus lens L21 having a convex surfacefacing the object side and a positive meniscus lens L22 having a convexsurface facing the object side to each other sequentially from theobject side. The third lens group G3 includes, sequentially from theobject side, a cemented lens formed by cementing a negative meniscuslens L31 having a convex surface facing the object side and a biconvexpositive lens L32 to each other, a cemented lens formed by cementing abiconcave negative lens L33 and a biconvex positive lens L34 to eachother, a biconvex positive lens L35, a cemented lens formed by cementinga negative meniscus lens L36 having a convex surface facing the objectside and a positive meniscus lens L37 having a convex surface facing theobject side to each other, a cemented lens formed by cementing abiconvex positive lens L38 and a biconcave negative lens L39 to eachother, and an aspheric positive lens L310 having an aspheric lenssurface on the object side and shaped in a positive meniscus lens havinga concave surface facing the object side. A filter FL is disposedbetween the third lens group G3 and an image plane I.

In the magnification-variable optical system ZL8, at magnificationchange from the wide-angle state to the telescopic state, the first lensgroup G1 moves to the image side and the second lens group G2 and thethird lens group G3 move to the object side so that the distance betweenthe first lens group G1 and the second lens group G2 decreases, thedistance between the second lens group G2 and the third lens group G3decreases, and the distance (back focus) between the third lens group G3and an image plane I increases. An aperture stop S is disposed in thethird lens group G3 (between the cemented lens formed by cementing thenegative meniscus lens L31 and the biconvex positive lens L32 to eachother and the cemented lens formed by cementing the biconcave negativelens L33 and the biconvex positive lens L34 to each other), and movestogether with the third lens group G3 at magnification change.

The magnification-variable optical system ZL8 performs focusing uponfrom an infinite distance object to a close distance object by movingthe second lens group G2 to the image side.

Table 29 below shows the values of specifications of themagnification-variable optical system ZL8.

In Table 29, the sixteenth surface corresponds to the aperture stop S,and the ninth surface and the twentieth surface correspond to virtualsurfaces. An auxiliary aperture may be disposed at the twentiethsurface.

In a case in which a filter is disposed on the object side in themagnification-variable optical system ZL8, the filter is disposed at aposition separated by 6.10 mm on the object side from the first surface.

TABLE 29 Eighth example [Overall specifications] Wide-angle Intermediatefocal- Telescopic state length state state f = 14.400 to 16.000 to18.000 to 23.300 FNO = 2.91 to 2.91 to 2.91 to 2.91 2ω (°) = 115.176 to108.256 to 100.691 to 84.861 Ymax = 21.600 to 21.600 to 21.600 to 21.600TL (air 137.332 to 134.390 to 131.934 to 129.823 equivalent length) = Bf(air 22.585 to 24.937 to 27.848 to 35.493 equivalent length) = [Lensdata] m r d nd νd Object plane ∞  1* 342.7914 3.0000 1.588870 61.13  2*16.1106 11.6048   3 49.2913 2.0000 1.820980 42.50  4* 25.8983 11.3832  5 −45.4837 1.5000 1.497820 82.57  6 54.3748 0.5376  7 38.8825 6.64441.635257 33.41  8 −91.9824 d8   9 0.0000 0.0000 10 33.1746 1.10001.963000 24.11 11 19.3866 4.3000 1.654152 32.42 12 119.3997 d12 1324.1338 1.1000 1.846660 23.80 14 17.5000 6.2000 1.511153 65.39 15−363.4978 1.5000 16 0.0000 2.8214 Aperture stop S 17 −41.4313 1.10001.953750 32.33 18 27.1802 5.4000 1.846660 23.80 19 −54.0998 0.3995 200.0000 −0.3000  21 24.5452 6.0000 1.497820 82.57 22 −55.5602 0.2000 2351.0776 1.1000 1.834810 42.73 24 17.5706 5.0000 1.497820 82.57 25163.6668 0.2000 26 37.0379 7.0000 1.497820 82.57 27 −18.4013 1.10001.834810 42.73 28 86.5739 3.9979 29* −60.3503 2.0000 1.860999 37.10 30−50.2613 d30 31 0.0000 1.6000 1.516800 64.13 32 0.0000 1.0688 Imageplane ∞ [Focal length of lens groups] Lens group First surface Focallength First lens group 1 −21.915 Second lens group 9 122.590 Third lensgroup 13 39.056

In the magnification-variable optical system ZL8, the first surface, thesecond surface, the fourth surface, and the twenty-ninth surface haveaspheric lens surfaces. Table 30 below shows the surface number m anddata of the aspheric surfaces, in other words, the values of the conicalconstant K and the aspheric constants A4 to A12.

TABLE 30 [Data on aspherical surface] First surface K = 1.0000 A4 =1.19707E−05 A6 = −1.76977E−08 A8 = 1.6943E−11 A10 = −8.85755E−15 A12 =1.9766E−18 A14 = 0.00000E+00 Second surface K = 0.0000 A4 = 7.01276E−06A6 = 2.77908E−08 A8 = 3.97015E−11 A10 = −5.16043E−13 A12 = 6.2126E−16A14 = 0.00000E+00 Fourth surface K = 1.3632 A4 = 1.34780E−05 A6 =−1.71246E−09 A8 = 5.11129E−11 A10 = 3.88045E−13 A12 = 1.1914E−18 A14 =0.00000E+00 Twenty-ninth K = 1.0000 surface A4 = −2.04742E−05 A6 =−5.87424E−08 A8 = 2.99693E−10 A10 = −3.41851E−12 A12 = 7.3793E−15 A14 =0.00000E+00

In the magnification-variable optical system ZL8, the on-axis air spaced8 between the first lens group G1 and the second lens group G2, theon-axis air space d12 between the second lens group G2 and the thirdlens group G3, and an on-axis air space d30 between the third lens groupG3 and the filter FL change at magnification change and focusing. Table31 below shows the values of variable distances at focal lengths in thewide-angle state, the intermediate focal-length state, and thetelescopic state at each of focusing on an object at infinity, focusingon an object at a close distance, and focusing on an object at theclosest distance.

TABLE 31 [Variable distance data] Wide-angle Intermediate focal-Telescopic state length state state -Focusing on an object at infinity-f 14.400 16.000 18.000 23.300 d0 ∞ ∞ ∞ ∞ d8 19.3279 14.5264 9.83511.5000 d12 8.5296 8.0374 7.3623 5.9410 d30 20.4803 22.8718 25.786233.4872 -Focusing on an object at a close distance- β −0.025 −0.025−0.025 −0.025 d0 547.1797 611.4703 691.7918 904.4881 d8 20.3497 15.487610.7327 2.2703 d12 7.5079 7.0762 6.4647 5.1707 d30 20.4803 22.871825.7862 33.4872 -Focusing on an object at the closest distance- β −0.091−0.099 −0.110 −0.142 d0 136.0234 138.9653 141.4208 143.5318 d8 22.859318.1510 13.5843 5.5992 d12 4.9982 4.4129 3.6131 1.8418 d30 20.480322.8718 25.7862 33.4872

Table 32 below shows values compliant to the condition expressions inthe magnification-variable optical system ZL8. In themagnification-variable optical system ZL8, the specific negative lens isthe biconcave negative lens L13, and the specific lens is each of thebiconvex positive lens L35, the positive meniscus lens L37, and thebiconvex positive lens L38.

TABLE 32 Σν1n = 186.20 Σ (ν1n × f1n) = −8786.587 STLw = 78.728 fL1 =−28.806 fL2 = −69.134 [Values compliant to conditional expressions] (1)ν1n = 82.57 (2) nL2/nL1 = 1.146 (3) N1n = 3 (4) 2ωw = 115.176° (5) nL1 =1.589 (6) fw × (−f1)/Fnow = 108.445 mm² (7) (L1r2 + L1r1)/(L1r2 − L1r1)= −1.099 (8) (Σν1n)/N1n = 62.067 (9) (Σ (ν1n × f1n))/(N1n × f1) =133.647 (10) Bfw/fw = 1.568 (11) STLw/TLw = 0.573 (12) (−f1)/fw = 1.522(13) (−f1)/ft = 0.941 (14) fL1/f1 = 1.314 (15) fL2/f1 = 3.155 (16)TLw/Bfw = 6.081 (17) (L2r2 + L2r1)/(L2r2 − L2r1) = −3.214 (18) (L3r2 +L3r1)/(L3r2 − L3r1) = 0.089 (19) νr = 82.57 (20) Fnow = 2.91 (21) Fnot=2.91

As described above, the magnification-variable optical system ZL8satisfies all Conditional Expressions (1) to (21) described above.

FIG. 16 shows a variety of aberration diagrams of themagnification-variable optical system ZL8 in the wide-angle state andthe telescopic state at focusing on an object at infinity. The varietyof aberration diagrams show that the magnification-variable opticalsystem ZL8 allows favorable correction of the variety of aberrationsfrom the wide-angle state to the telescopic state and provides excellentimaging performance.

Ninth Example

FIG. 17 shows a configuration of a magnification-variable optical systemZL9 according to the ninth example. The magnification-variable opticalsystem ZL9 includes, sequentially from the object side, a first lensgroup G1 having negative refractive power and a rear group GR havingpositive refractive power. The rear group GR includes, sequentially fromthe object side, a second lens group G2 having positive refractivepower, a third lens group G3 having positive refractive power, and afourth lens group G4 having negative refractive power.

In the magnification-variable optical system ZL9, the first lens groupG1 includes, sequentially from the object side, an aspheric negativelens L11 having an aspheric lens surface on the object side and anaspheric lens surface on the image side and shaped in a negativemeniscus lens having a convex surface facing the object side, anaspheric negative lens L12 having an aspheric lens surface on the imageside and shaped in a negative meniscus lens having a convex surfacefacing the object side, a biconcave negative lens L13, and a biconvexpositive lens L14. The second lens group G2 is formed of a cemented lensformed by cementing a negative meniscus lens L21 having a convex surfacefacing the object side and a positive meniscus lens L22 having a convexsurface facing the object side to each other sequentially from theobject side. The third lens group G3 includes, sequentially from theobject side, a cemented lens formed by cementing a negative meniscuslens L31 having a convex surface facing the object side and a positivemeniscus lens L32 having a convex surface facing the object side to eachother, a cemented lens formed by cementing a biconcave negative lens L33and a biconvex positive lens L34 to each other, a biconvex positive lensL35, and a cemented lens formed by cementing a negative meniscus lensL36 having a convex surface facing the object side and a biconvexpositive lens L37 to each other. The fourth lens group G4 includes,sequentially from the object side, a cemented lens formed by cementing abiconvex positive lens L41 and a biconcave negative lens L42, and anaspheric positive lens L43 having an aspheric lens surface on the objectside and shaped in a positive meniscus lens having a concave surfacefacing the object side. A filter FL is disposed between the fourth lensgroup G4 and an image plane I.

In the magnification-variable optical system ZL9, at magnificationchange from the wide-angle state to the telescopic state, the first lensgroup G1 moves to the image side and the second lens group G2, the thirdlens group G3, and the fourth lens group G4 move to the object side sothat the distance between the first lens group G1 and the second lensgroup G2 decreases, the distance between the second lens group G2 andthe third lens group G3 decreases, the distance between the third lensgroup G3 and the fourth lens group G4 increases, and the distance (backfocus) between the fourth lens group G4 and the image plane I increases.An aperture stop S is disposed in the third lens group G3 (between thecemented lens formed by cementing the negative meniscus lens L31 and thebiconvex positive lens L32 to each other and the cemented lens formed bycementing the biconcave negative lens L33 and the biconvex positive lensL34 to each other), and moves together with the third lens group G3 atmagnification change.

The magnification-variable optical system ZL9 performs focusing uponfrom an infinite distance object to a close distance object by movingthe second lens group G2 to the image side.

Table 33 below shows the values of specifications of themagnification-variable optical system ZL9.

In Table 33, the sixteenth surface corresponds to the aperture stop S,and the ninth surface and the twentieth surface correspond to virtualsurfaces. An auxiliary aperture may be disposed at the twentiethsurface.

In a case in which a filter is disposed on the object side in themagnification-variable optical system ZL9, the filter is disposed at aposition separated by 6.10 mm on the object side from the first surface.

TABLE 33 Ninth example [Overall specifications] Wide-angle Intermediatefocal- Telescopic state length state state f = 14.400 to 16.000 to18.000 to 23.300 FNO = 2.91 to 2.91 to 2.91 to 2.91 2ω (°) = 115.123 to107.999 to 100.301 to 84.436 Ymax = 21.600 to 21.600 to 21.600 to 21.600TL (air 137.421 to 134.414 to 131.760 to 129.485 equivalent length) = Bf(air 21.808 to 24.029 to 26.719 to 34.219 equivalent length) = [Lensdata] m r d nd νd Object plane ∞  1* 211.8265 3.0000 1.588870 61.13  2*15.9992 11.6180   3 48.6821 2.0000 1.820980 42.50  4* 25.7140 11.5301  5 −43.5876 1.5000 1.497820 82.57  6 54.1333 0.5681  7 40.3289  6.60 691.625844 34.24  8 −86.6000 d8   9 0.0000 0.0000 10 36.9813 1.10001.963000 24.11 11 19.6099 4.3000 1.680196 30.69 12 1248.2429 d12 1326.0906 1.1000 1.846660 23.80 14 17.5000 6.2000 1.489456 69.86 151516.2872 1.5382 16 0.0000 2.6920 Aperture stop S 17 −46.0077 1.10001.953750 32.33 18 26.5003 5.4000 1.846660 23.80 19 −55.7140 0.3744 200.0000 −0.3000  21 25.7684 6.0000 1.497820 82.57 22 −51.7236 0.2000 2353.1758 1.1000 1.834810 42.73 24 17.7067 5.0000 1.497820 82.57 25−115.0285 d25 26 57.4820 7.0000 1.497820 82.57 27 −18.9711 1.10001.834810 42.73 28 69.6403 3.9109 29* −41.3607 2.0000 1.860999 37.10 30−35.5329 d30 31 0.0000 1.6000 1.516800 64.13 32 0.0000 0.9492 Imageplane ∞ [Focal length of lens groups] Lens group First surface Focallength First lens group 1 −21.475 Second lens group 10 88.427 Third lensgroup 13 32.839 Fourth lens group 26 −65.349

In the magnification-variable optical system ZL9, the first surface, thesecond surface, the fourth surface, and the twenty-ninth surface haveaspheric lens surfaces. Table 34 below shows the surface number m anddata of the aspheric surfaces, in other words, the values of the conicalconstant K and the aspheric constants A4 to A12.

TABLE 34 [Data on aspherical surface] First surface K = 1.0000 A4 =1.09229E−05 A6 = −1.69852E−08 A8 = 1.67481E−11 A10 = −8.86570E−15 A12 =1.92870E−18 A14 = 0.00000E+00 Second surface K = 0.0000 A4 = 9.21479E−06A6 = 2.30867E−08 A8 = 1.30262E−11 A10 = −4.06315E−13 A12 = 4.84400E−16A14 = 0.00000E+00 Fourth surface K = 1.3178 A4 = 1.27593E−05 A6 =−2.12909E−09 A8 = 9.99165E−11 A10 = 8.39923E−14 A12 = 6.41400E−16 A14 =0.00000E+00 Twenty-ninth K = 1.0000 surface A4 = −1.73924E−05 A6 =−5.17645E−08 A8 = 1.21697E−10 A10 = −2.24340E−12 A12 = 2.49200E−15 A14 =0.00000E+00

In the magnification-variable optical system ZL9, the on-axis air spaced8 between the first lens group G1 and the second lens group G2, theon-axis air space d12 between the second lens group G2 and the thirdlens group G3, an on-axis air space d24 between the third lens group G3and the fourth lens group G4, and an on-axis air space d30 between thefourth lens group G4 and the filter FL change at magnification changeand focusing. Table 35 below shows the values of variable distances atfocal lengths in the wide-angle state, the intermediate focal-lengthstate, and the telescopic state at each of focusing on an object atinfinity, focusing on an object at a close distance, and focusing on anobject at the closest distance.

TABLE 35 [Variable distance data] Wide-angle Intermediate focal-Telescopic state length state state -Focusing on an object at infinity-f 14.400 16.000 18.000 23.300 d0 ∞ ∞ ∞ ∞ d8 19.8415 14.9293 10.07731.6769 d12 7.6288 7.1950 6.5331 5.0307 d25 1.5037 1.6216 1.7924 1.9194d30 19.7474 21.9244 24.6266 32.2154 -Focusing on an object at a closedistance- β −0.025 −0.025 −0.025 −0.025 d0 547.1797 611.4703 691.7918904.4881 d8 20.6724 15.6966 10.7821 2.2646 d12 6.7979 6.4278 5.82834.4429 d25 1.5037 1.6216 1.7924 1.9194 d30 19.7474 21.9244 24.626632.2154 -Focusing on an object at the closest distance- β −0.091 −0.099−0.110 −0.142 d0 136.0234 138.9653 141.4208 143.5318 d8 22.7133 17.824113.0223 4.8109 d12 4.7570 4.3002 3.5882 1.8967 d25 1.5037 1.6216 1.79241.9194 d30 19.7474 21.9244 24.6266 32.2154

Table 36 below shows values compliant to the condition expressions inthe magnification-variable optical system ZL9. In themagnification-variable optical system ZL9, the specific negative lens isthe biconcave negative lens L13, and the specific lens is each of thebiconvex positive lens L35, the biconvex positive lens L37, and thebiconvex positive lens L41.

TABLE 36 Σν1n = 186.20 Σ (ν1n × f1n) = −8728.096 STLw = 78.532 fL1 =−29.557 fL2 = −69.099 [Values compliant to conditional expressions] (1)ν1n = 82.57 (2) nL2/nL1 = 1.146 (3) N1n = 3 (4) 2ωw = 115.123° (5) nL1 =1.589 (6) fw × (−f1)/Fnow = 106.270 mm² (7) (L1r2 + L1r1)/(L1r2 − L1r1)= −1.163 (8) (Σν1n)/N1n = 62.067 (9) (Σ (ν1n × f1n))/(N1n × f1) =135.474 (10) Bfw/fw = 1.514 (11) STLw/TLw = 0.571 (12) (−f1)/fw = 1.491(13) (−f1)/ft = 0.922 (14) fL1/f1 = 1.376 (15) fL2/f1 = 3.218 (16)TLw/Bfw = 6.301 (17) (L2r2 + L2r1)/(L2r2 − L2r1) = −3.239 (18) (L3r2 +L3r1)/(L3r2 − L3r1) = 0.108 (19) νr = 82.57 (20) Fnow = 2.91 (21) Fnot =2.91

As described above, the magnification-variable optical system ZL9satisfies all Conditional Expressions (1) to (21) described above.

FIG. 18 shows a variety of aberration diagrams of themagnification-variable optical system ZL9 in the wide-angle state andthe telescopic state at focusing on an object at infinity. The varietyof aberration diagrams show that the magnification-variable opticalsystem ZL9 allows favorable correction of the variety of aberrationsfrom the wide-angle state to the telescopic state and provides excellentimaging performance.

Tenth Example

FIG. 19 shows a configuration of a magnification-variable optical systemZL10 according to the tenth example. The magnification-variable opticalsystem ZL10 includes, sequentially from the object side, a first lensgroup G1 having negative refractive power and a rear group GR havingpositive refractive power. The rear group GR includes, sequentially fromthe object side, a second lens group G2 having positive refractivepower, a third lens group G3 having positive refractive power, a fourthlens group G4 having positive refractive power, and a fifth lens groupG5 having negative refractive power.

In the magnification-variable optical system ZL10, the first lens groupG1 includes, sequentially from the object side, an aspheric negativelens L11 having an aspheric lens surface on the object side and anaspheric lens surface on the image side and shaped in a negativemeniscus lens having a convex surface facing the object side, anaspheric negative lens L12 having an aspheric lens surface on the imageside and shaped in a negative meniscus lens having a convex surfacefacing the object side, and a cemented lens formed by cementing abiconcave negative lens L13 and a biconvex positive lens L14 to eachother. The second lens group G2 includes, sequentially from the objectside, a biconvex positive lens L21, and a cemented lens formed bycementing a biconvex positive lens L22 and a biconcave negative lens L23to each other. The third lens group G3 is formed of a cemented lensformed by cementing a negative meniscus lens L31 having a convex surfacefacing the object side and a positive meniscus lens L32 having a convexsurface facing the object side to each other sequentially from theobject side. The fourth lens group G4 includes, sequentially from theobject side, a cemented lens formed by cementing a biconcave negativelens L41 and a biconvex positive lens L42, a biconvex positive lens L43,and a cemented lens formed by cementing a negative meniscus lens L44having a convex surface facing the object side and a biconvex positivelens L45 to each other. The fifth lens group G5 includes, sequentiallyfrom the object side, a cemented lens formed by cementing a biconcavenegative lens L51 and a biconvex positive lens L52, and an asphericpositive lens L53 having an aspheric lens surface on the image side andshaped in a positive meniscus lens having a concave surface facing theobject side. A filter FL is disposed between the fifth lens group G5 andan image plane I.

In the magnification-variable optical system ZL10, at magnificationchange from the wide-angle state to the telescopic state, the first lensgroup G1 moves to the image side and the second lens group G2, the thirdlens group G3, the fourth lens group G4, and the fifth lens group G5move to the object side so that the distance between the first lensgroup G1 and the second lens group G2 decreases, the distance betweenthe second lens group G2 and the third lens group G3 changes, thedistance between the third lens group G3 and the fourth lens group G4decreases, the distance between the fourth lens group G4 and the fifthlens group G5 increases, and the distance (back focus) between the fifthlens group G5 and the image plane I increases. An aperture stop S isdisposed between the third lens group G3 and the fourth lens group G4and moves together with the fourth lens group G4 at magnificationchange.

The magnification-variable optical system ZL10 performs focusing uponfrom an infinite distance object to a close distance object by movingthe second lens group G2 to the image side.

Table 37 below shows the values of specifications of themagnification-variable optical system ZL10.

In Table 37, the eighteenth surface corresponds to the aperture stop S,and the eighth surface, the fourteenth surface, and the thirty-secondsurface correspond to virtual surfaces. An auxiliary aperture may bedisposed at the fourteenth surface.

In a case in which a filter is disposed on the object side in themagnification-variable optical system ZL10, the filter is disposed at aposition separated by 6.10 mm on the object side from the first surface.

TABLE 37 Tenth example [Overall specifications] Wide-angle Intermediatefocal- Telescopic state length state state f = 14.400 to 18.000 to20.000 to 23.300 FNO = 2.91 to 2.91 to 2.91 to 2.91 2ω (°) = 114.664 to99.908 to 93.228 to 83.941 Ymax = 21.600 to 21.600 to 21.600 to 21.600TL (air 143.298 to 136.392 to 134.454 to 133.191 equivalent length) = Bf(air 21.176 to 26.098 to 28.849 to 33.508 equivalent length) = [Lensdata] m r d nd νd Object plane ∞  1* 73.3719 3.2000 1.588870 61.13  2*14.5908 13.6216   3 63.8356 2.0000 1.860999 37.10  4* 30.0096 10.9163  5 −50.1332 2.7239 1.433848 95.23  6 36.7661 5.9645 1.806100 33.34  7−2583.8501 d7   8 0.0000 d8   9 98.9830 3.3713 1.728250 28.38 10−69.3563 0.2000 11 45.8254 4.5650 1.698950 30.13 12 −44.1835 1.20001.963000 24.11 13 51.6189 d13 14 0.0000 0.0000 15 22.9396 1.20041.834000 37.18 16 16.5758 5.1257 1.487490 70.32 17 159.7987 d17 180.0000 3.8360 Aperture stop S 19 −72.2635 1.2000 1.834810 42.73 2032.7563 4.3411 1.497820 82.57 21 −55.5942 0.2082 22 37.2299 3.86851.749500 35.25 23 −97.4255 0.9285 24 29.0556 1.2430 1.834000 37.18 2518.1863 5.7887 1.497820 82.57 26 −93.6887 d26 27 −61.0712 1.20081.953747 32.32 28 18.9225 5.7947 1.672700 32.18 29 −118.9626 2.9252 30−46.6184 1.3000 1.860999 37.10 31* −43.1724 d31 32 0.0000 18.4181  330.0000 1.6000 1.516800 64.13 34 0.0000 1.1070 Image plane ∞ [Focallength of lens groups] Lens group First surface Focal length First lensgroup 1 −20.602 Second lens group 9 91.157 Third lens group 15 76.110Fourth lens group 19 30.004 Fifth lens group 27 −45.641

In the magnification-variable optical system ZL10, the first surface,the second surface, the fourth surface, and the thirty-first surfacehave aspheric lens surfaces. Table 38 below shows the surface number mand data of the aspheric surfaces, in other words, the values of theconical constant K and the aspheric constants A4 to A12.

TABLE 38 [Data on aspherical surface] First surface K = 1.0000 A4 =−8.22269E−06 A6 = 2.29849E−08 A8 = −3.24259E−11 A10 = 2.63839E−14 A12 =−1.1616E−17 A14 = 2.16740E−21 Second surface K = 0.0000 A4 =−9.13167E−07 A6 = −9.42128E−09 A8 = 8.71937E−11 A10 = 1.90838E−13 A12 =−1.19570E−15 A14 = 1.26750E−18 Fourth surface K = 2.0000 A4 =4.11958E−06 A6 = 9.92408E−09 A8 = 1.20069E−11 A10 = −2.46956E−13 A12 =1.41440E−15 A14 = −2.30990E−18 Thirty-first K = 1.0000 surface A4 =1.54778E−05 A6 = −8.95438E−09 A8 = 3.82731E−10 A10 = −2.13552E−12 A12 =4.78640E−15 A14 = 0.00000E+00

In the magnification-variable optical system ZL10, the on-axis airspaces d7 and d8 between the first lens group G1 and the second lensgroup G2, an on-axis air space d13 between the second lens group G2 andthe third lens group G3, the on-axis air space d17 between the thirdlens group G3 and the fourth lens group G4, an on-axis air space d26between the fourth lens group G4 and the fifth lens group G5, and theon-axis air space d31 between the fifth lens group G5 and the filter FLchange at magnification change and focusing. Table 39 below shows thevalues of variable distances at focal lengths in the wide-angle state,the intermediate focal-length state, and the telescopic state at each offocusing on an object at infinity, focusing on an object at a closedistance, and focusing on an object at the closest distance.

TABLE 39 [Variable distance data] Wide-angle Intermediate focal-Telescopic state length state state -Focusing on an object at infinity-f 14.400 18.000 20.000 23.300 d0 ∞ ∞ ∞ ∞ d7 22.3946 11.1020 6.89261.5000 d8 0.0000 0.0000 0.0000 0.0000 d13 5.3794 5.6650 5.5441 5.7924d17 4.7709 3.2409 2.6170 1.4986 d26 2.8531 3.5619 3.8286 4.1689 d310.5000 5.5016 8.0722 12.9278 -Focusing on an object at a close distance-β −0.025 −0.025 −0.025 −0.025 d0 545.2923 690.1690 770.5760 903.1960 d722.3946 11.1020 6.8926 1.5000 d8 0.8103 0.7197 0.6824 0.6343 d13 4.56924.9453 4.8617 5.1581 d17 4.7709 3.2409 2.6170 1.4986 d26 2.8531 3.56193.8286 4.1689 d31 0.5000 5.5016 8.0722 12.9278 -Focusing on an object atthe closest distance- β −0.094 −0.112 −0.124 −0.144 d0 130.1097 137.0620138.9961 140.1704 d7 22.3946 11.1020 6.8926 1.5000 d8 2.6235 2.97523.0674 3.3170 d13 2.7248 2.6934 2.4623 2.5422 d17 4.7709 3.2409 2.61701.4986 d26 2.8531 3.5619 3.8286 4.1689 d31 0.5000 5.5016 8.0722 12.9278

Table 40 below shows values compliant to the condition expressions inthe magnification-variable optical system ZL10. In themagnification-variable optical system ZL10, the specific negative lensis the biconcave negative lens L13, and the specific lens is each of thebiconvex positive lens L42 and the biconvex positive lens L45.

TABLE 36 Σν1n = 193.46 Σ (ν1n × f1n) = −9050.378 STLw = 86.634 fL1 =−31.560 fL2 = −67.630 [Values compliant to conditional expressions] (1)ν1n = 95.23 (2) nL2/nL1 = 1.171 (3) N1n = 3 (4) 2ωw = 114.664° (5) nL1 =1.589 (6) fw × (−f1)/Fnow = 101.938 mm² (7) (L1r2 + L1r1)/(L1r2 − L1r1)= −1.496 (8) (Σν1n)/N1n = 64.487 (9) (Σ (ν1n × f1n))/(N1n × f1) =146.446 (10) Bfw/fw = 1.471 (11) STLw/TLw = 0.605 (12) (−f1)/fw = 1.431(13) (−f1)/ft = 0.884 (14) fL1/f1 = 1.532 (15) fL2/f1 = 3.283 (16)TLw/Bfw = 6.767 (17) (L2r2 + L2r1)/(L2r2 − L2r1) = −2.774 (18) (L3r2 +L3r1)/(L3r2 − L3r1) = −0.154 (19) νr = 82.57 (20) Fnow = 2.91 (21) Fnot=2.91

As described above, the magnification-variable optical system ZL10satisfies all Conditional Expressions (1) to (21) described above.

FIG. 20 shows a variety of aberration diagrams of themagnification-variable optical system ZL10 in the wide-angle state andthe telescopic state at focusing on an object at infinity. The varietyof aberration diagrams show that the magnification-variable opticalsystem ZL10 allows favorable correction of the variety of aberrationsfrom the wide-angle state to the telescopic state and provides excellentimaging performance.

REFERENCE SIGNS LIST

-   1 Camera (optical apparatus)-   ZL (ZL1 to ZL10) Magnification-variable optical system-   G1 First lens group-   GR Rear group

1. A magnification-variable optical system comprising: a first lensgroup having negative refractive power; and a rear group including atleast one lens group disposed on an image side of the first lens group,wherein a distance between lens groups adjacent to each other changes atmagnification change, and the following conditional expressions aresatisfied:−4.00<(L1r2+L1r1)/(L1r2−L1r1)<−0.50100.00°<2ωw where L1r1: radius of curvature of a lens surface of a lensclosest to an object side in the first lens group, the lens surfacebeing on the object side, L1r2: radius of curvature of a lens surface ofthe lens closest to the object side in the first lens group, the lenssurface being on an image side, and 2ωw: full angle of view of themagnification-variable optical system in a wide-angle state.
 2. Themagnification-variable optical system according to claim 1, wherein thefollowing conditional expression is satisfied:N1n≤4 where N1n: the number of negative lenses included in the firstlens group.
 3. The magnification-variable optical system according toclaim 1, wherein the following conditional expression is satisfied:nL1<1.70 where nL1: refractive index of a medium of a lens closest tothe object side in the first lens group at a d line.
 4. Themagnification-variable optical system according to claim 1, wherein thefollowing conditional expression is satisfied:1.20<Bfw/fw<4.00 where fw: focal length of the magnification-variableoptical system in the wide-angle state, and Bfw: back focus of themagnification-variable optical system in the wide-angle state.
 5. Themagnification-variable optical system according to claim 1, wherein thefollowing conditional expression is satisfied:0.40<STLw/TLw<0.70 where TLw: total length of the magnification-variableoptical system in the wide-angle state, and STLw: distance on an opticalaxis from a lens surface closest to the object side to an aperture stopin the magnification-variable optical system in the wide-angle state. 6.The magnification-variable optical system according to claim 1, whereinthe following conditional expression is satisfied:1.00<(−f1)/fw<2.00 where, fw: focal length of the magnification-variableoptical system in the wide-angle state, and f1: focal length of thefirst lens group.
 7. The magnification-variable optical system accordingto claim 1, wherein the following conditional expression is satisfied:0.65<(−f1)/ft<1.20 where ft: focal length of the magnification-variableoptical system in a telephoto end state, and f1: focal length of thefirst lens group.
 8. The magnification-variable optical system accordingto claim 1, wherein the following conditional expression is satisfied:1.00<fL1/f1<2.00 where f1: focal length of the first lens group, andfL1: focal length of the lens closest to the object side in the firstlens group.
 9. The magnification-variable optical system according toclaim 1, wherein the following conditional expression is satisfied:1.00<fL2/f1<4.00 where f1: focal length of the first lens group, andfL2: focal length of a lens second closest to the object side in thefirst lens group.
 10. The magnification-variable optical systemaccording to claim 1, wherein the following conditional expression issatisfied:3.50<TLw/Bfw<8.00 where Bfw: back focus of the magnification-variableoptical system in the wide-angle state, and TLw: total length of themagnification-variable optical system in the wide-angle state.
 11. Themagnification-variable optical system according to claim 1, wherein thefirst lens group includes at least two lenses, and the followingconditional expression is satisfied:−4.00<(L2r2+L2r1)/(L2r2−L2r1)<−0.50 in the expression, L2r1: radius ofcurvature of a lens surface of a lens second closest to the object sidein the first lens group, the lens surface being on the object side, andL2r2: radius of curvature of a lens surface of the lens second closestto the object side in the first lens group, the lens surface being onthe image side.
 12. The magnification-variable optical system accordingto claim 1, wherein the first lens group includes at least three lenses,and the following conditional expression is satisfied:−0.80<(L3r2+L3r1)/(L3r2−L3r1)<0.80 where L3r1: radius of curvature of alens surface of a lens third closest to the object side in the firstlens group, the lens surface being on the object side, and L3r2: radiusof curvature of a lens surface of the lens third closest to the objectside in the first lens group, the lens surface being on the image side.13. The magnification-variable optical system according to claim 1,wherein the first lens group moves in an optical axis direction atmagnification change.
 14. The magnification-variable optical systemaccording to claim 1, wherein the first lens group includes,sequentially from the object side, a negative lens, a negative lens, anegative lens, and a positive lens.
 15. The magnification-variableoptical system according to claim 1, wherein part of the rear groupmoves to the image side upon focusing from an infinite distance objectto a close distance object.
 16. The magnification-variable opticalsystem according to claim 1, wherein the rear group includes one or moreaspheric surfaces.
 17. The magnification-variable optical systemaccording to claim 1, wherein the rear group includes one or more lensesthat satisfy the following conditional expression:66.50<νr where νr: Abbe number of a medium of the respective lensincluded in the rear group at a d line.
 18. The magnification-variableoptical system according to claim 1, wherein the rear group has positiverefractive power.
 19. The magnification-variable optical systemaccording to claim 1, wherein the following conditional expression issatisfied:Fnow<4.20 where Fnow: maximum aperture of the magnification-variableoptical system in a state of focusing at infinity in the wide-anglestate.
 20. The magnification-variable optical system according to claim1, wherein the following conditional expression is satisfied:Fnot<6.00 where Fnot: maximum aperture of the magnification-variableoptical system in a state of focusing at infinity in a telephoto endstate.
 21. The magnification-variable optical system according to claim1, further comprising a filter on the object side of the first lensgroup.
 22. An optical apparatus comprising the magnification-variableoptical system according to claim
 1. 23. A method for manufacturing amagnification-variable optical system including a first lens group and arear group, the first lens group having negative refractive power, therear group including at least one lens group disposed on an image sideof the first lens group, the method for manufacturing themagnification-variable optical system comprising: disposing the lensgroups so that a distance between lens groups adjacent to each otherchanges at magnification change; and satisfying the followingconditional expressions:−4.00<(L1r2+L1r1)/(L1r2−L1r1)<−0.50100.00°<2ωw where L1r1: radius of curvature of a lens surface of a lensclosest to an object side in the first lens group, the lens surfacebeing on the object side, L1r2: radius of curvature of a lens surface ofthe lens closest to the object side in the first lens group, the lenssurface being on an image side, and 2ωw: full angle of view of themagnification-variable optical system in a wide-angle state.